What is the answer to 7900=1180*1.05^x ?

The answer to 7900=1180*1.05^x is x=(ln(395/59))/(ln(1.05))

Solve for x: 7900=1180*1.05^x

The solution is x=(ln(395/59))/(ln(1.05))

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7900 = 1180 \cdot 1.0 5^{x}

x = \frac{ln ( \frac{395}{59} )}{ln ( 1.05 )}

Decimal Notation

x = 38.96991 \dots

Solution steps

7900 = 1180 \cdot 1.0 5^{x}

Switch sides

1180 \cdot 1.0 5^{x} = 7900

Divide both sides by

1180

1.0 5^{x} = \frac{395}{59}

Apply exponent rules

x ln (1.05) = ln (\frac{395}{59})

Solve

x ln (1.05) = ln (\frac{395}{59}) : x = \frac{ln ( \frac{395}{59} )}{ln ( 1.05 )}

x = \frac{ln ( \frac{395}{59} )}{ln ( 1.05 )}

4^{x} \cdot 3^{5 x} + 3 = 21

6^{x^{2} - 3} = 3 6^{x}

x, 5^{x} = t

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

x, e^{x y} y = 0

What is the answer to 7900=1180*1.05^x ?
The answer to 7900=1180*1.05^x is x=(ln(395/59))/(ln(1.05))
Solve for x: 7900=1180*1.05^x
The solution is x=(ln(395/59))/(ln(1.05))