Question

Solve the equation for x​

Answer 1

Answer:

x=4

Step-by-step explanation:

Refer to the image for the explanation

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Answer 2

Answer:

Value of x = 4

Step-by-step explanation:

$\frac{3}{2}log4-\frac{2}{3}log8+log2=logx$

$\implies log4^{\frac{3}{2}}-log8^{\frac{2}{3}}+log2=logx$

$\implies log(2^{2})^{\frac{3}{2}}-log(2^{3})^{\frac{2}{3}}+log2=logx$

$\implies log(2)^{2\times \frac{3}{2}}-log(2)^{3\times \frac{2}{3}}+log2=logx$

$\implies log 2^{3}-log 2^{2}+log2=logx$

$\implies log \frac{2^{3}}{2^{2}}+log2=logx$

$\implies log2+log2 = logx$

$\implies log (2\times 2) = logx$

$\implies log 4 = log x$

$\implies x = 4$

Therefore,

Value of x = 4

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