What is the answer to 3log_{9}(5x-5)=5 ?

The answer to 3log_{9}(5x-5)=5 is x=(9*9^{2/3}+5)/5

Solve for x: 3log_{9}(5x-5)=5

The solution is x=(9*9^{2/3}+5)/5

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3 lo g_{9} (5 x - 5) = 5

x = \frac{9 \cdot 9 ^{\frac{2}{3}} + 5}{5}

Decimal

x = 8.78814 \dots

Solution steps

3 lo g_{9} (5 x - 5) = 5

Divide both sides by

3

lo g_{9} (5 x - 5) = \frac{5}{3}

Apply log rules

5 x - 5 = 9 \cdot 9^{\frac{2}{3}}

Solve

5 x - 5 = 9 \cdot 9^{\frac{2}{3}} : x = \frac{9 \cdot 9 ^{\frac{2}{3}} + 5}{5}

x = \frac{9 \cdot 9 ^{\frac{2}{3}} + 5}{5}

Verify Solutions:

x = \frac{9 \cdot 9 ^{\frac{2}{3}} + 5}{5}

True

The solution is

x = \frac{9 \cdot 9 ^{\frac{2}{3}} + 5}{5}

lo g_{3} (x^{2} + 2 x + 2) = - 1

2 = - lo g_{10} (x)

y, - ln (y) = x

20 lo g_{10} (x) = 6

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

What is the answer to 3log_{9}(5x-5)=5 ?
The answer to 3log_{9}(5x-5)=5 is x=(9*9^{2/3}+5)/5
Solve for x: 3log_{9}(5x-5)=5
The solution is x=(9*9^{2/3}+5)/5