What is the answer to 4=1.05^x ?

The answer to 4=1.05^x is x=(2ln(2))/(ln(1.05))

Solve for x: 4=1.05^x

The solution is x=(2ln(2))/(ln(1.05))

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4 = 1.0 5^{x}

x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

Solution steps

4 = 1.0 5^{x}

Apply exponent rules

ln (4) = x ln (1.05)

Solve

ln (4) = x ln (1.05) : x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

8 (2^{x + 1}) = 2 2^{x}

2^{x + 1} + 2^{x - 1} = 10

e^{2 x} - 2 e^{x} + 1 = 0

5^{x + 1} + 5^{x} + 5^{x - 1} = 775

e^{2 x} = 3

What is the answer to 4=1.05^x ?
The answer to 4=1.05^x is x=(2ln(2))/(ln(1.05))
Solve for x: 4=1.05^x
The solution is x=(2ln(2))/(ln(1.05))