What is the answer to 2^x=125 ?

The answer to 2^x=125 is x=(3ln(5))/(ln(2))

The solution is x=(3ln(5))/(ln(2))

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2^x=125

2^{x} = 125

x = \frac{3 ln ( 5 )}{ln ( 2 )}

Decimal Notation

x = 6.96578 \dots

Solution steps

2^{x} = 125

Apply exponent rules

x ln (2) = ln (125)

Solve

x ln (2) = ln (125) : x = \frac{3 ln ( 5 )}{ln ( 2 )}

x = \frac{3 ln ( 5 )}{ln ( 2 )}

7^{9 x + 7} = 2

x, y = 3^{x}

x, 7^{x - 1} = e^{y}

5^{2 x - 3} = 7^{x + 1}

21 6^{x + 2} = 7776