What is the answer to -5log_{8}(3m)=5 ?

The answer to -5log_{8}(3m)=5 is m= 1/24

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-5log_{8}(3m)=5

- 5 lo g_{8} (3 m) = 5

m = \frac{1}{24}

Decimal Notation

m = 0.04166 \dots

Solution steps

- 5 lo g_{8} (3 m) = 5

Divide both sides by

- 5

lo g_{8} (3 m) = - 1

Apply log rules

3 m = \frac{1}{8}

Solve

3 m = \frac{1}{8} : m = \frac{1}{24}

m = \frac{1}{24}

Verify Solutions:

m = \frac{1}{24}

True

The solution is

m = \frac{1}{24}

x e^{a} = e^{a l n (x)}

x, 2 x ln (x) + x = 0

lo g_{4} (x + 5) - lo g_{4} (x - 5) = 2

2 \cdot x^{1 + l o g_{2} (x)} = x^{3}

x, e^{2} = ln (x)

What is the answer to -5log_{8}(3m)=5 ?
The answer to -5log_{8}(3m)=5 is m= 1/24
Solve for m: -5log_{8}(3m)=5
The solution is m= 1/24