What is the answer to 5(0.95)^x=1.1^x ?

The answer to 5(0.95)^x=1.1^x is x=(ln(5))/(ln(1.1)-ln(0.95))

Solve for x: 5(0.95)^x=1.1^x

The solution is x=(ln(5))/(ln(1.1)-ln(0.95))

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5 (0.95)^{x} = 1. 1^{x}

x = \frac{ln ( 5 )}{ln ( 1.1 ) - ln ( 0.95 )}

Decimal Notation

x = 10.97817 \dots

Solution steps

5 (0.95)^{x} = 1. 1^{x}

Apply exponent rules

ln (5) + x ln (0.95) = x ln (1.1)

Solve

ln (5) + x ln (0.95) = x ln (1.1) : x = \frac{ln ( 5 )}{ln ( 1.1 ) - ln ( 0.95 )}

x = \frac{ln ( 5 )}{ln ( 1.1 ) - ln ( 0.95 )}

e^{x} + 2 e^{- x} = 4.5

5^{x + 5} = 625

27 = 3^{x - 1}

7.7 = 860 (0.5)^{\frac{x}{6}}

n, 2 r^{n} = 1

What is the answer to 5(0.95)^x=1.1^x ?
The answer to 5(0.95)^x=1.1^x is x=(ln(5))/(ln(1.1)-ln(0.95))
Solve for x: 5(0.95)^x=1.1^x
The solution is x=(ln(5))/(ln(1.1)-ln(0.95))