What is the answer to 3^x=23 ?

The answer to 3^x=23 is x=(ln(23))/(ln(3))

The solution is x=(ln(23))/(ln(3))

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3^x=23

3^{x} = 23

x = \frac{ln ( 23 )}{ln ( 3 )}

Decimal Notation

x = 2.85404 \dots

Solution steps

3^{x} = 23

Apply exponent rules

x ln (3) = ln (23)

Solve

x ln (3) = ln (23) : x = \frac{ln ( 23 )}{ln ( 3 )}

x = \frac{ln ( 23 )}{ln ( 3 )}

2^{x + 3} + 4^{x + 1} = 320

4^{x^{2} - 11 x + 30} = 16

2 e^{t} = 75

4^{x} - 6 (2^{x}) + 8 = 0

2^{3 x} = 4^{x + 1}