What is the answer to 20(1.07)^x=8(1.13)^x ?

The answer to 20(1.07)^x=8(1.13)^x is x=-(ln(2/5))/(ln(1.13)-ln(1.07))

Solve for x: 20(1.07)^x=8(1.13)^x

The solution is x=-(ln(2/5))/(ln(1.13)-ln(1.07))

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20 (1.07)^{x} = 8 (1.13)^{x}

x = - \frac{ln ( \frac{2}{5} )}{ln ( 1.13 ) - ln ( 1.07 )}

Decimal Notation

x = 16.79449 \dots

Solution steps

20 (1.07)^{x} = 8 (1.13)^{x}

Apply exponent rules

ln (20) + x ln (1.07) = ln (8) + x ln (1.13)

Solve

ln (20) + x ln (1.07) = ln (8) + x ln (1.13) : x = - \frac{ln ( \frac{2}{5} )}{ln ( 1.13 ) - ln ( 1.07 )}

x = - \frac{ln ( \frac{2}{5} )}{ln ( 1.13 ) - ln ( 1.07 )}

7.9 (1.3)^{1.3 x} = 352

(1 + 0.06)^{x} = 4800000

a^{x} = 3

e^{x - 1} - 4 = 6

4005 e^{(0.04 t)} = 6218.59

What is the answer to 20(1.07)^x=8(1.13)^x ?
The answer to 20(1.07)^x=8(1.13)^x is x=-(ln(2/5))/(ln(1.13)-ln(1.07))
Solve for x: 20(1.07)^x=8(1.13)^x
The solution is x=-(ln(2/5))/(ln(1.13)-ln(1.07))