Recent questions tagged expression

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Solve: \( \sqrt{\ln x}=\ln (\sqrt{x}) \).
65
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Solve \( \ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8 \)
66
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Solve \( \ln _{3} x=5 \)
155
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117
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164
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What is arithmetic geometry?
171
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What is algebraic geometry?
135
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Write two ways of each algebraic expression in words.(a) m + 7(b) z - 11(c) 5 × a(d) b ÷ 9
164
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Solve for \( x \) in each of the following:1. \( x^{2}+x-12=0 \)2. \( \sqrt{2 x+1}=x-1 \)3. \( 2^{x \sqrt{x}}=2^{27} \)4. \( x^{2}-2 x-8<0 \)
188
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Simplify to a single trigonometric ratio:1.\[\frac{\sin 550^{\circ}}{\cos \left(-170^{\circ}\right)}\]2. \( \sqrt{1+\cos \left(90^{\circ}+\theta\right) \sin \left(180^{\c...
139
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Simplify \(\sqrt[15]{243}\)
123
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Simplify \( \frac{11+x}{x^{3}}+2 x(5-x) \)
363
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Simplify \( (x+5)(x+2) \)
139
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Simplify the complex expression\[(2-3 i)(-2+i)\]
128
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Simplify the complex number \(5(3-2 i)+2 i(4+6 i)\)
125
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SImplify \((3 x) /\left(x^2+3\right)-(2 x) /\left(x^2+1\right)\)
143
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Simplify the expression \( \frac{11+x}{x^{3}}+2 x(5-x) \)
413
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How can I factorise quadratic algebraic expressions?
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Solve each of the followinga) \(x(2 x-6)=0\)b) \(m^2+3 m=4\)c) \(x^2-49=0\)d) \(x+2-x-3=0\)
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Factorise fullya) \(6 x y-2 x\)b) \(x^2(y+3)-(y+3)\)c) \(4 x^2-y^2\)d) \(x^2-11 x+18\)
221
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Solve the equation.\[\log _3(2 x-3)=\log _3(x+5)\]
226
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Simplify \(2^x \cdot 8^{x+1}\)
234
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Simplify \(a^{2 x} \cdot a^{3 x+1}\)
450
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How do I find 6 choose 2? use latex and show working
390
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How much is 20% in fractions? Show all working
308
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What is the difference between an equation and an expression in math?
367
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Convert \(\sqrt{49}=7\) into a logarithmic equation.
226
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Convert \(10^{-3}=\frac{1}{1,000}\) into a logarithmic equation.
213
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Rewrite \(5^3=125\) as a logarithmic equation.
383
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Convert \(\log _3\left(\frac{1}{81}\right)=-4\) into an exponential equation.
231
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Convert \(\log _4\left(\frac{1}{16}\right)=-2\) into an exponential equation.
550
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Rewrite \(\log _3 9=2\) as an exponential equation.
273
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Make \(x\) subject of formula: \(V_2=V_1\left(1-\left(\frac{x}{100}\right)^2\right)\)
623
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How do I factorise an algebraic expression by grouping in pairs?
344
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Factorize the algebraic expression \(x^2+4 x-5\)
239
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Simplify \(8 r^2+5 r^2=\)
406
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What are the terms in an algebraic expression made up of?
253
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What are the factors of the algebraic expression 11yz?
267
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What are the terms of the algebraic expression \(7x – 9\)?
634
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What are the terms, variables, and constants of the algebraic expression: \(9x – 7y + 5\) ?
250
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Simplify the algebraic expression \(2x+3y-4x-4xy-5x+4x^2-xy^2\)
251
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Simplify the propositional form \(\neg(P \vee Q) \vee(\neg P \wedge Q)\).
642
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Construct the truth table of the propositional form \([(P \Leftrightarrow Q) \wedge Q] \Rightarrow P\)
312
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Simplify the following propositional form: \(\neg(\neg P \Rightarrow \neg Q)\)
218
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a. Simplify \(\dfrac{3^{x+1}-3^x}{3^x}\)b. Hence or otherwise simplify \(\dfrac{3^{x+1}-3^x}{m \cdot 3^x+2^2 3^x}-\dfrac{3 m-12}{m^2-16}\)
577
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Simplify by rationalising the denominator (show all working without using a calculator)\(\dfrac{3}{\sqrt{7}-\sqrt{5}}\)
273
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Without using a calculator, simplify: \(\dfrac{(2 a)^{-2} \times 3 a^{-5}}{\left(a^3 b^{\frac{1}{2}}\right)^2 \times(a b)^0}\)
193
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Without using a calculator \(\dfrac{6^{2 m} \times 4^{-m}}{\left(3^m\right)^2}\)
482
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Simplify the following without a calculator:a) \(\sqrt{9 x^4+16 x^4}\)b) \(\left(\frac{b^{-\frac{1}{3}}}{\sqrt[3]{b^2}}\right)^{-2}\)c) \(\frac{9^{n-1} \cdot 27^{3-2 n}}{...
279
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Solve for \(x\) in each of the following. Show all relevant working detail.a) \(x^2-1=x\) (Round off to two decimal places)b) \(2 x^2-x-6>0\)
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