What is the answer to (0.97)^x=0.5 ?

The answer to (0.97)^x=0.5 is x=(ln(0.5))/(ln(0.97))

Solve for x: (0.97)^x=0.5

The solution is x=(ln(0.5))/(ln(0.97))

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(0.97)^{x} = 0.5

x = \frac{ln ( 0.5 )}{ln ( 0.97 )}

Decimal Notation

x = 22.75657 \dots

Solution steps

(0.97)^{x} = 0.5

Apply exponent rules

x ln (0.97) = ln (0.5)

Solve

x ln (0.97) = ln (0.5) : x = \frac{ln ( 0.5 )}{ln ( 0.97 )}

x = \frac{ln ( 0.5 )}{ln ( 0.97 )}

3^{x + 4} = 81

x, e^{- 2 x} - e^{2 y} = c

y, x = 4^{7^{y}}

(5^{x})^{2} = 625

What is the answer to (0.97)^x=0.5 ?
The answer to (0.97)^x=0.5 is x=(ln(0.5))/(ln(0.97))
Solve for x: (0.97)^x=0.5
The solution is x=(ln(0.5))/(ln(0.97))