What is the answer to log_{3/4}(25)=3x-1 ?

The answer to log_{3/4}(25)=3x-1 is x=(2log_{3/4}(5)+1)/3

Solve for x: log_{3/4}(25)=3x-1

The solution is x=(2log_{3/4}(5)+1)/3

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lo g_{\frac{3}{4}} (25) = 3 x - 1

x = \frac{2 lo g _{\frac{3}{4}} ( 5 ) + 1}{3}

Decimal Notation

x = - 3.39633 \dots

Solution steps

lo g_{\frac{3}{4}} (25) = 3 x - 1

Switch sides

3 x - 1 = lo g_{\frac{3}{4}} (25)

Move

1

to the right side

3 x = 2 lo g_{\frac{3}{4}} (5) + 1

Divide both sides by

3

x = \frac{2 lo g _{\frac{3}{4}} ( 5 ) + 1}{3}

2 x - 3 = 4 x

- 3 < \frac{1}{x} < 1

\frac{0}{15}

5 x^{2} - 4 x + 3 = 0

(3 g^{4} + 5 g^{2} h + 1) - (3 g^{4} - 5 g^{2} + 8 h)

What is the answer to log_{3/4}(25)=3x-1 ?
The answer to log_{3/4}(25)=3x-1 is x=(2log_{3/4}(5)+1)/3
Solve for x: log_{3/4}(25)=3x-1
The solution is x=(2log_{3/4}(5)+1)/3