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

The answer to log_{7}(7/x)=5 is x= 1/2401

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log_{7}(7/x)=5

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

x = \frac{1}{2401}

Decimal Notation

x = 0.00041 \dots

Solution steps

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

Apply log rules

\frac{7}{x} = 7^{5}

Multiply both sides by

x

\frac{7}{x} x = 7^{5} x

Simplify

7 = 16807 x

Solve

7 = 16807 x : x = \frac{1}{2401}

x = \frac{1}{2401}

Verify Solutions:

x = \frac{1}{2401}

True

The solution is

x = \frac{1}{2401}

ln (x) 4 - ln (x) 2 = 2

8 ln (9) = ln (a) + 12 ln (3)

50 = 68 - 20 lo g_{10} (t + 1)

ln (2 t + 3) = 4

n = - \frac{lo g _{10} ( p )}{10}

What is the answer to log_{7}(7/x)=5 ?
The answer to log_{7}(7/x)=5 is x= 1/2401
Solve for x: log_{7}(7/x)=5
The solution is x= 1/2401