What is the answer to 5(1.08)^x=20 ?

The answer to 5(1.08)^x=20 is x=(2ln(2))/(ln(1.08))

Solve for x: 5(1.08)^x=20

The solution is x=(2ln(2))/(ln(1.08))

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5 (1.08)^{x} = 20

x = \frac{2 ln ( 2 )}{ln ( 1.08 )}

Decimal Notation

x = 18.01293 \dots

Solution steps

5 (1.08)^{x} = 20

Divide both sides by

5

1.0 8^{x} = 4

Apply exponent rules

x ln (1.08) = ln (4)

Solve

x ln (1.08) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 1.08 )}

x = \frac{2 ln ( 2 )}{ln ( 1.08 )}

2^{2 x + 1} = 5

2^{2 x + 1} = 0

3 \cdot 9^{x} + 8 \cdot 3^{x} - 3 = 0

12 5^{x} = \frac{1}{5}

7 (3^{x}) = 2 (4^{(5 x - 4)})

What is the answer to 5(1.08)^x=20 ?
The answer to 5(1.08)^x=20 is x=(2ln(2))/(ln(1.08))
Solve for x: 5(1.08)^x=20
The solution is x=(2ln(2))/(ln(1.08))