What is the answer to log_{x}(x^2)=log_{8}(16x) ?

The answer to log_{x}(x^2)=log_{8}(16x) is x=4

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log_{x}(x^2)=log_{8}(16x)

lo g_{x} (x^{2}) = lo g_{8} (16 x)

x = 4

Solution steps

lo g_{x} (x^{2}) = lo g_{8} (16 x)

Apply log rules

x = 8^{- \frac{4}{3} + 2}

Solve

x = 8^{- \frac{4}{3} + 2} : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{10} (x) = 18

lo g_{10} (x) (8 - 2 x) = 2

lo g_{10} (x) + x = 0

lo g_{x} (5) - lo g_{25} (x) - 1 = 0

lo g_{10} (x) + lo g_{10} (x - 2) = 2 lo g_{10} (x - 4)

What is the answer to log_{x}(x^2)=log_{8}(16x) ?
The answer to log_{x}(x^2)=log_{8}(16x) is x=4
Solve for x: log_{x}(x^2)=log_{8}(16x)
The solution is x=4