What is the answer to 1/3 log_{5}(12x)=2 ?

The answer to 1/3 log_{5}(12x)=2 is x= 15625/12

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1/3 log_{5}(12x)=2

\frac{1}{3} lo g_{5} (12 x) = 2

x = \frac{15625}{12}

Decimal Notation

x = 1302.08333 \dots

Solution steps

\frac{1}{3} lo g_{5} (12 x) = 2

Multiply both sides by

3

lo g_{5} (12 x) = 6

Apply log rules

12 x = 15625

Solve

12 x = 15625 : x = \frac{15625}{12}

x = \frac{15625}{12}

Verify Solutions:

x = \frac{15625}{12}

True

The solution is

x = \frac{15625}{12}

2 lo g_{2} (x) + 7 lo g_{10} (x) - 9 = 0

lo g_{10} (10 x^{2}) = 3

lo g_{2} (3 x - 2) + lo g_{2} (x) = 4

lo g_{x + 5} (5 x) = 3

lo g_{2} (x^{(2)} - 6 x) - 6 = - 2

What is the answer to 1/3 log_{5}(12x)=2 ?
The answer to 1/3 log_{5}(12x)=2 is x= 15625/12
Solve for x: 1/3 log_{5}(12x)=2
The solution is x= 15625/12