What is the answer to 2(1.08)^x=2.5 ?

The answer to 2(1.08)^x=2.5 is x=(ln(1.25))/(ln(1.08))

Solve for x: 2(1.08)^x=2.5

The solution is x=(ln(1.25))/(ln(1.08))

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2 (1.08)^{x} = 2.5

x = \frac{ln ( 1.25 )}{ln ( 1.08 )}

Decimal Notation

x = 2.89943 \dots

Solution steps

2 (1.08)^{x} = 2.5

Divide both sides by

2

1.0 8^{x} = 1.25

Apply exponent rules

x ln (1.08) = ln (1.25)

Solve

x ln (1.08) = ln (1.25) : x = \frac{ln ( 1.25 )}{ln ( 1.08 )}

x = \frac{ln ( 1.25 )}{ln ( 1.08 )}

200 = 4^{x}

8^{4 x} = \frac{1}{2 2}

200 = 4^{t}

B (t) = 2190 \cdot e^{- 0.3 t}

z, 0 = e^{2 x + 2 y + z}

What is the answer to 2(1.08)^x=2.5 ?
The answer to 2(1.08)^x=2.5 is x=(ln(1.25))/(ln(1.08))
Solve for x: 2(1.08)^x=2.5
The solution is x=(ln(1.25))/(ln(1.08))