## oxford422 one year ago 6500=5000(1.042)^x

1. Anickyan

Find x?

2. oxford422

yea

3. Anickyan

Use a logarithm.

4. oxford422

i got it to 13=10(1.042)^x

5. Anickyan

Is it $$13 = 10 * 1.024^x$$ ?

6. oxford422

yea

7. oxford422

i just dont remember how to solve for variables as exponents

8. Anickyan

9. oxford422

its been a long summer maybe

10. Anickyan

First, you must isolate $$1.024^x$$

11. KeithAfasCalcLover

$6500=5000(1.042)^x$ $\frac{6500}{5000}=1.042^x$ $1.3=1.042^x$ $log_{10}(1.3)=x*log_{10}(1.042)$ $\frac{log_{10}(1.3)}{log_{10}(1.042)}=x$ $x \dot{=}6.377$

12. Anickyan

Then, when you have $$1.024^x = y$$, you do this to find $$x$$: $x = \log_{1.024}(y)$

13. Anickyan

@KeithAfasCalcLover , you're not supposed to just give away the answer.

14. oxford422

i just needed to see it