What is the answer to 5^x=40 ?

The answer to 5^x=40 is x=(ln(40))/(ln(5))

The solution is x=(ln(40))/(ln(5))

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5^x=40

5^{x} = 40

x = \frac{ln ( 40 )}{ln ( 5 )}

Decimal Notation

x = 2.29202 \dots

Solution steps

5^{x} = 40

Apply exponent rules

x ln (5) = ln (40)

Solve

x ln (5) = ln (40) : x = \frac{ln ( 40 )}{ln ( 5 )}

x = \frac{ln ( 40 )}{ln ( 5 )}

ln^{2} (3) \cdot 3^{x} = 0

5^{x} = 49

x, 3 = 2^{x}

5^{x} = 38

2^{x + 3} + 10 = 42