What is the answer to -5log_{7}(10n)=5 ?

The answer to -5log_{7}(10n)=5 is n= 1/70

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-5log_{7}(10n)=5

- 5 lo g_{7} (10 n) = 5

n = \frac{1}{70}

Decimal Notation

n = 0.01428 \dots

Solution steps

- 5 lo g_{7} (10 n) = 5

Divide both sides by

- 5

lo g_{7} (10 n) = - 1

Apply log rules

10 n = \frac{1}{7}

Solve

10 n = \frac{1}{7} : n = \frac{1}{70}

n = \frac{1}{70}

Verify Solutions:

n = \frac{1}{70}

True

The solution is

n = \frac{1}{70}

lo g_{5} (x) + lo g_{5} (x + 4) = 1

0.71 = ln (x)

5 = lo g_{2} (2 x - 10)

2 lo g_{9} (2) = lo g_{9} (x)

x, y = lo g_{y} (x) + 2

What is the answer to -5log_{7}(10n)=5 ?
The answer to -5log_{7}(10n)=5 is n= 1/70
Solve for n: -5log_{7}(10n)=5
The solution is n= 1/70