What is the answer to -6log_{4}(5x)=-12 ?

The answer to -6log_{4}(5x)=-12 is x= 16/5

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-6log_{4}(5x)=-12

- 6 lo g_{4} (5 x) = - 12

x = \frac{16}{5}

Decimal Notation

x = 3.2

Solution steps

- 6 lo g_{4} (5 x) = - 12

Divide both sides by

- 6

lo g_{4} (5 x) = 2

Apply log rules

5 x = 16

Solve

5 x = 16 : x = \frac{16}{5}

x = \frac{16}{5}

Verify Solutions:

x = \frac{16}{5}

True

The solution is

x = \frac{16}{5}

lo g_{2} (lo g_{10} (2 x - 1)) = 1

ln (x^{4}) - ln (x^{2}) = 2

lo g_{10} (x) + lo g_{10} (x + 15) = 2

lo g_{x} (4) = 2

lo g_{x} (64) = 6

What is the answer to -6log_{4}(5x)=-12 ?
The answer to -6log_{4}(5x)=-12 is x= 16/5
Solve for x: -6log_{4}(5x)=-12
The solution is x= 16/5