Answer :

Answer:

- 3.396

Step-by-step explanation:

Given equation is,

[tex]log_{\frac{3}{4}} 25 = 3x-1[/tex]

By using logarithm property,

[tex]log_ax=\frac{log_bx}{log_ba}[/tex]

We get,

[tex]\frac{log25}{log\frac{3}{4}}=3x-1[/tex]

[tex]\frac{1.39794000867}{-0.124938736608}=3x-1[/tex]

[tex]-11.18900388=3x-1[/tex]

Adding 1 on both sides,

[tex]-10.18900388=3x[/tex]

[tex]\implies x = -\frac{10.18900388}{3}=-3.39633462667\approx -3.396[/tex]

Hence, the approximate value of x is -3.396.

First option is correct.

RustyLakes

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

Option A) -3.396

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