Question

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

log3/4 25 =3x-1

–3.396

–0.708

0.304

0.955​

Answer 1

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

Option A) -3.396

Answer 2

- 3.396

Explanation:

Given equation is,

`log_{(3)/(4)} 25 = 3x-1`

By using logarithm property,

`log_ax=(log_bx)/(log_ba)`

We get,

`(log25)/(log(3)/(4))=3x-1`

`(1.39794000867)/(-0.124938736608)=3x-1`

`-11.18900388=3x-1`

Adding 1 on both sides,

`-10.18900388=3x`

`\implies x = -(10.18900388)/(3)=-3.39633462667\approx -3.396`

Hence, the approximate value of x is -3.396.

First option is correct.