What is the answer to log_{8}(x)=1.5 ?

The answer to log_{8}(x)=1.5 is x=8^{1.5}

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log_{8}(x)=1.5

lo g_{8} (x) = 1.5

x = 8^{1.5}

Decimal Notation

x = 22.62741 \dots

Solution steps

lo g_{8} (x) = 1.5

Apply log rules

x = 8^{1.5}

lo g_{3} (5) + lo g_{3} (8 + 3 x) = 5

lo g_{2 x - 1} (256) = 8

lo g_{5} (x + 6) - lo g_{5} (x - 2) = 1

ln (1 - 5 x) = - 2

lo g_{8} (\frac{5 x - 29}{11}) = 0

What is the answer to log_{8}(x)=1.5 ?
The answer to log_{8}(x)=1.5 is x=8^{1.5}
Solve for x: log_{8}(x)=1.5
The solution is x=8^{1.5}