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

The answer to log_{2}(x)=2+log_{8}(x) is x=8

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log_{2}(x)=2+log_{8}(x)

lo g_{2} (x) = 2 + lo g_{8} (x)

x = 8

Solution steps

lo g_{2} (x) = 2 + lo g_{8} (x)

Apply log rules

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

ln (2 x) = 5 x

ln (x) + ln (x + 2) = 3 \cdot ln (2)

72 = lo g_{10} (x)

lo g_{6} (x + 5) = 1 - lo g_{6} (x + 4)

10 x^{2 l o g_{10} (x)} = x^{3}

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