100=1.5(1.1^n - 1)/1.1-1
Could you be so nice please and help me find the solution. The answer is 22 but I have whole time different number. I use log on both sides :
100=1.5(1.1^n - 1)/1.1-1
10 = 1.5(1.1^n - 1)
10 = 1.65^n - 0.5)
log 10.5 = n log 1.65
n = 0.21321
Thank you so much for huge help:)))
To solve the equation 100 = 1.5(1.1^n - 1)/(1.1 - 1), you correctly started by isolating the term with n.
However, there is an error in your calculations in the next step. Let's go through the solution again to find the correct answer:
1. Start with the equation: 100 = 1.5(1.1^n - 1)/(1.1 - 1)
2. Simplify the denominator on the right side: 100 = 1.5(1.1^n - 1)/0.1
3. Multiply both sides by 0.1 to get rid of the denominator: 10 = 1.5(1.1^n - 1)
4. Divide both sides by 1.5 to isolate the term with n: 10/1.5 = 1.1^n - 1
5. Simplify the left side: 6.67 = 1.1^n - 1
6. Add 1 to both sides: 7.67 = 1.1^n
7. To solve for n, take the logarithm (base 1.1) of both sides: log base 1.1(7.67) = n
8. Use a calculator to find the logarithm: n ≈ 21.86
Therefore, the correct answer is approximately n = 21.86, not 0.21321.