What is the answer to 1.06^x=41 ?

The answer to 1.06^x=41 is x=(ln(41))/(ln(1.06))

Solve for x: 1.06^x=41

The solution is x=(ln(41))/(ln(1.06))

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1.0 6^{x} = 41

x = \frac{ln ( 41 )}{ln ( 1.06 )}

Decimal Notation

x = 63.73162 \dots

Solution steps

1.0 6^{x} = 41

Apply exponent rules

x ln (1.06) = ln (41)

Solve

x ln (1.06) = ln (41) : x = \frac{ln ( 41 )}{ln ( 1.06 )}

x = \frac{ln ( 41 )}{ln ( 1.06 )}

3^{2^{x}} = 9

4^{x} - 6 (2^{x}) = 16

87 = 3 5^{x}

2^{3 x + 5} = 9^{x + 1}

5^{x^{2}} = 2 5^{\frac{5}{2} x - 2}

What is the answer to 1.06^x=41 ?
The answer to 1.06^x=41 is x=(ln(41))/(ln(1.06))
Solve for x: 1.06^x=41
The solution is x=(ln(41))/(ln(1.06))