What is the answer to 3/4 log_{7}(x)=5 ?

The answer to 3/4 log_{7}(x)=5 is x=117649*7^{2/3}

Solve for x: 3/4 log_{7}(x)=5

The solution is x=117649*7^{2/3}

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\frac{3}{4} lo g_{7} (x) = 5

x = 117649 \cdot 7^{\frac{2}{3}}

Decimal Notation

x = 430513.65747 \dots

Solution steps

\frac{3}{4} lo g_{7} (x) = 5

Multiply both sides by

4

3 lo g_{7} (x) = 20

Divide both sides by

3

lo g_{7} (x) = \frac{20}{3}

Apply log rules

x = 117649 \cdot 7^{\frac{2}{3}}

Verify Solutions:

x = 117649 \cdot 7^{\frac{2}{3}}

True

The solution is

x = 117649 \cdot 7^{\frac{2}{3}}

\frac{9}{8} lo g_{2} (x) = - 7

2 ln (x) = ln (x)

ln (x) = 1 - ln (x + 2)

a, lo g_{a} (mn) = 16

\frac{9}{8} lo g_{2} (x) = - 4

What is the answer to 3/4 log_{7}(x)=5 ?
The answer to 3/4 log_{7}(x)=5 is x=117649*7^{2/3}
Solve for x: 3/4 log_{7}(x)=5
The solution is x=117649*7^{2/3}