Question

What is the approximate value of x in the equation below.

Answer 1

Answer: They might switch options around but if not...

Option A) -3.396

Answer 2

Answer:

- 3.396

Step-by-step explanation:

Given equation is,

$log_{\frac{3}{4}} 25 = 3x-1$

By using logarithm property,

$log_ax=\frac{log_bx}{log_ba}$

We get,

$\frac{log25}{log\frac{3}{4}}=3x-1$

$\frac{1.39794000867}{-0.124938736608}=3x-1$

$-11.18900388=3x-1$

Adding 1 on both sides,

$-10.18900388=3x$

$\implies x = -\frac{10.18900388}{3}=-3.39633462667\approx -3.396$

Hence, the approximate value of x is -3.396.

First option is correct.