What is the answer to 10^x=15 ?

The answer to 10^x=15 is x=(ln(15))/(ln(10))

The solution is x=(ln(15))/(ln(10))

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10^x=15

1 0^{x} = 15

x = \frac{ln ( 15 )}{ln ( 10 )}

Decimal Notation

x = 1.17609 \dots

Solution steps

1 0^{x} = 15

Apply exponent rules

x ln (10) = ln (15)

Solve

x ln (10) = ln (15) : x = \frac{ln ( 15 )}{ln ( 10 )}

x = \frac{ln ( 15 )}{ln ( 10 )}

x, e^{\frac{x}{y}} = x - y

2 7^{x + 1} = 9

2 ln (5 - e^{- 2 x}) = 1

27 = 3^{x}

27 = 3^{6 - 3 x}