What is the answer to 1.6^x=15 ?

The answer to 1.6^x=15 is x=(ln(15))/(ln(1.6))

Solve for x: 1.6^x=15

The solution is x=(ln(15))/(ln(1.6))

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1. 6^{x} = 15

x = \frac{ln ( 15 )}{ln ( 1.6 )}

Decimal Notation

x = 5.76176 \dots

Solution steps

1. 6^{x} = 15

Apply exponent rules

x ln (1.6) = ln (15)

Solve

x ln (1.6) = ln (15) : x = \frac{ln ( 15 )}{ln ( 1.6 )}

x = \frac{ln ( 15 )}{ln ( 1.6 )}

e^{2 (x - 3)} + e^{- 2 (x - 3)} = 8

e^{7 x} = 8

0.45039 (1.03)^{n} = (1.03)^{n} - 1

8^{x - 1} = 512

4^{2 x - 1} = \frac{1}{32}