Find the value of x if - 32x-2-10 - 13-7

The correct option is A 3 [ 3^2x 2+10 ]÷ 13=7 ⇒ 3^2x 2+10=7× 13=91 ⇒ 3^2x 2=91 10=81=3^4 ⇒ 2x 2=4 ⇒ 2x=6 ⇒ x=3 ...

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Factorisation Using Algebraic Identities

Find the valu...

Question

Find the value of $x$ if $[3^{2 x - 2} + 10] \div 13 = 7$

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Find the values of x in each of the following:

$(i) 2^{5 x} \div 2^{x} = \sqrt[5]{2^{20}}$

$(i i) (2^{3})^{4} = (2^{2})^{x}$

$(i i i) {(\frac{3}{5})}^{x} {(\frac{5}{3})}^{2 x} = \frac{125}{27}$

$(i v) 5^{x - 2} \times 3^{2 x - 3} = 135$

$(v) 2^{x - 7} \times 5^{x - 4} = 1250$

$(v i) (\sqrt[3]{4})^{2 x + \frac{1}{2}} = \frac{1}{32}$

$(v i i) 5^{2 x + 3} = 1$

$(v i i i) (13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$

$(i x) {(\sqrt{\frac{3}{5}})}^{x + 1} = \frac{125}{27}$

Find the value of:

(i) $(- 4) \div \frac{2}{3}$

(ii) $\frac{- 3}{5} \div 2$

(iii) $\frac{- 4}{5} \div - 3$

(iv) $\frac{- 1}{8} \div \frac{3}{4}$

(v) $\frac{- 2}{13} \div \frac{1}{7}$

(vi) $\frac{- 7}{12} \div \frac{- 2}{13}$

(vii) $\frac{3}{13} \div \frac{- 4}{65}$

{log}_{2} (3^{2 x - 2} + 7) = 2 + {log}_{2} (3^{x - 1} + 1)

x

: -

X	$4 - 7$	$7 - 10$	$10 - 13$	$13 - 14$
F	$2$	$5$	$3$	$2$

If $x = \frac{\sqrt{3} + 1}{2}$ , find the value of $4 x^{3} + 2 x^{2} - 8 x + 7$ .

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