What is the answer to 5^x=26 ?

The answer to 5^x=26 is x=(ln(26))/(ln(5))

The solution is x=(ln(26))/(ln(5))

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5^x=26

5^{x} = 26

x = \frac{ln ( 26 )}{ln ( 5 )}

Decimal Notation

x = 2.02436 \dots

Solution steps

5^{x} = 26

Apply exponent rules

x ln (5) = ln (26)

Solve

x ln (5) = ln (26) : x = \frac{ln ( 26 )}{ln ( 5 )}

x = \frac{ln ( 26 )}{ln ( 5 )}

5^{2 x - 1} = 125

- 2 \cdot 1 0^{4 x} = - 300

x, U = f + g e^{x}