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Popular >

e^{x-3}=2^{x-1}

Solution

e^{x - 3} = 2^{x - 1}

Solution

x = \frac{- ln ( 2 ) + 3}{1 - ln ( 2 )}

+1

Decimal Notation

x = 7.51778 \dots

Solution steps

e^{x - 3} = 2^{x - 1}

Apply exponent rules

x - 3 = (x - 1) ln (2)

Solve

x - 3 = (x - 1) ln (2) : x = \frac{- ln ( 2 ) + 3}{1 - ln ( 2 )}

x = \frac{- ln ( 2 ) + 3}{1 - ln ( 2 )}

Popular Examples

2(9^x)-7(3^x)+3=0

2 (9^{x}) - 7 (3^{x}) + 3 = 0

(0.65e^{-31s})/(500s+1)=0

\frac{0.65 e ^{- 31 s}}{500 s + 1} = 0

2^{2x}+2^x-20=0

2^{2 x} + 2^{x} - 20 = 0

4^{x} - 2 \cdot 2^{x} + 12 = 0

solvefor x,7^{5x+7}=2 solve for

x, 7^{5 x + 7} = 2

Frequently Asked Questions (FAQ)

What is the answer to e^{x-3}=2^{x-1} ?
The answer to e^{x-3}=2^{x-1} is x=(-ln(2)+3)/(1-ln(2))