What is the answer to 5^x=12 ?

The answer to 5^x=12 is x=(ln(12))/(ln(5))

The solution is x=(ln(12))/(ln(5))

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5^x=12

5^{x} = 12

x = \frac{ln ( 12 )}{ln ( 5 )}

Decimal Notation

x = 1.54395 \dots

Solution steps

5^{x} = 12

Apply exponent rules

x ln (5) = ln (12)

Solve

x ln (5) = ln (12) : x = \frac{ln ( 12 )}{ln ( 5 )}

x = \frac{ln ( 12 )}{ln ( 5 )}

x, e^{x} = 0

e^{2 x} - 7 e^{x} + 10 = 0

(3^{x} + 2)^{2} = 121

2^{x} = 2

3^{1 - 2 x} = e^{2 l n (3)}