What is the answer to 5^x=23 ?

The answer to 5^x=23 is x=(ln(23))/(ln(5))

The solution is x=(ln(23))/(ln(5))

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5^x=23

5^{x} = 23

x = \frac{ln ( 23 )}{ln ( 5 )}

Decimal Notation

x = 1.94819 \dots

Solution steps

5^{x} = 23

Apply exponent rules

x ln (5) = ln (23)

Solve

x ln (5) = ln (23) : x = \frac{ln ( 23 )}{ln ( 5 )}

x = \frac{ln ( 23 )}{ln ( 5 )}

5^{x} = 14

5^{x} = - 1

3^{2 x + 5} = 3^{7}

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

3 6^{2 x} = 21 6^{x - 1}