What is the answer to 800=60(1.25)^x ?

The answer to 800=60(1.25)^x is x=(ln(40/3))/(ln(1.25))

Solve for x: 800=60(1.25)^x

The solution is x=(ln(40/3))/(ln(1.25))

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800 = 60 (1.25)^{x}

x = \frac{ln ( \frac{40}{3} )}{ln ( 1.25 )}

Solution steps

800 = 60 (1.25)^{x}

Switch sides

60 \cdot 1.2 5^{x} = 800

Divide both sides by

60

1.2 5^{x} = \frac{40}{3}

Apply exponent rules

x ln (1.25) = ln (\frac{40}{3})

Solve

x ln (1.25) = ln (\frac{40}{3}) : x = \frac{ln ( \frac{40}{3} )}{ln ( 1.25 )}

x = \frac{ln ( \frac{40}{3} )}{ln ( 1.25 )}

21 6^{2 x - 3} = 3 6^{- x + 7}

4^{3 x + 4} = 3 2^{x - 1}

57 = 1 7^{x}

5^{2 x - 1} = 9^{x}

x^{5 x^{5}} = 3 6^{3}

What is the answer to 800=60(1.25)^x ?
The answer to 800=60(1.25)^x is x=(ln(40/3))/(ln(1.25))
Solve for x: 800=60(1.25)^x
The solution is x=(ln(40/3))/(ln(1.25))