What is the answer to ((1+0.18)^n-1)/(0.18)=10 ?

The answer to ((1+0.18)^n-1)/(0.18)=10 is n=(ln(2.8))/(ln(1.18))

Solve for n: ((1+0.18)^n-1)/(0.18)=10

The solution is n=(ln(2.8))/(ln(1.18))

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\frac{( 1 + 0.18 ) ^{n} - 1}{0.18} = 10

n = \frac{ln ( 2.8 )}{ln ( 1.18 )}

Solution steps

\frac{( 1 + 0.18 ) ^{n} - 1}{0.18} = 10

Multiply both sides by

0.18

\frac{( 1 + 0.18 ) ^{n} - 1}{0.18} \cdot 0.18 = 10 \cdot 0.18

Simplify

(1 + 0.18)^{n} - 1 = 1.8

Move

1

to the right side

(1 + 0.18)^{n} = 2.8

Apply exponent rules

n ln (1 + 0.18) = ln (2.8)

Solve

n ln (1 + 0.18) = ln (2.8) : n = \frac{ln ( 2.8 )}{ln ( 1.18 )}

n = \frac{ln ( 2.8 )}{ln ( 1.18 )}

2^{- x} = \frac{1}{64}

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

7^{8 x + 7} = 3

2 \cdot 3^{\frac{2 x}{7}} = 30

3^{x + 9} = 12

What is the answer to ((1+0.18)^n-1)/(0.18)=10 ?
The answer to ((1+0.18)^n-1)/(0.18)=10 is n=(ln(2.8))/(ln(1.18))
Solve for n: ((1+0.18)^n-1)/(0.18)=10
The solution is n=(ln(2.8))/(ln(1.18))