What is the answer to 5=0.736(1.102^x) ?

The answer to 5=0.736(1.102^x) is x=(ln(625/92))/(ln(1.102))

Solve for x: 5=0.736(1.102^x)

The solution is x=(ln(625/92))/(ln(1.102))

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5 = 0.736 (1.10 2^{x})

x = \frac{ln ( \frac{625}{92} )}{ln ( 1.102 )}

Decimal Notation

x = 19.72642 \dots

Solution steps

5 = 0.736 (1.10 2^{x})

Switch sides

0.736 \cdot 1.10 2^{x} = 5

Multiply both sides by

1000

736 \cdot 1.10 2^{x} = 5000

Divide both sides by

736

1.10 2^{x} = \frac{625}{92}

Apply exponent rules

x ln (1.102) = ln (\frac{625}{92})

Solve

x ln (1.102) = ln (\frac{625}{92}) : x = \frac{ln ( \frac{625}{92} )}{ln ( 1.102 )}

x = \frac{ln ( \frac{625}{92} )}{ln ( 1.102 )}

8 (\frac{1}{16})^{- 3 x - 2} = 32

64 = 3 2^{- x + 5}

64 = 3 2^{- x + 4}

1 2^{\frac{2}{3} x} = 23

3 3^{x + 4} = 9^{x + 1}

What is the answer to 5=0.736(1.102^x) ?
The answer to 5=0.736(1.102^x) is x=(ln(625/92))/(ln(1.102))
Solve for x: 5=0.736(1.102^x)
The solution is x=(ln(625/92))/(ln(1.102))