What is the answer to 5^x=38 ?

The answer to 5^x=38 is x=(ln(38))/(ln(5))

The solution is x=(ln(38))/(ln(5))

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5^x=38

5^{x} = 38

x = \frac{ln ( 38 )}{ln ( 5 )}

Decimal Notation

x = 2.26015 \dots

Solution steps

5^{x} = 38

Apply exponent rules

x ln (5) = ln (38)

Solve

x ln (5) = ln (38) : x = \frac{ln ( 38 )}{ln ( 5 )}

x = \frac{ln ( 38 )}{ln ( 5 )}

2^{x + 3} + 10 = 42

3^{x} + 3^{3 x} = 30

(23)^{x} = 1728

e^{4 x + 5} = 8

16 = 660 (0.5)^{\frac{x}{2}}