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

The answer to log_{5/2}(x)=3 is x= 125/8

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log_{5/2}(x)=3

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

x = \frac{125}{8}

Decimal Notation

x = 15.625

Solution steps

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

Apply log rules

x = \frac{125}{8}

ln (x) = ln (5) + ln (9)

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

4 = \frac{ln ( 2 b )}{ln ( 4 b )}

lo g_{3} (x + 7) = 2

lo g_{a} (2^{a}) = \frac{a}{4}