lemonjuice 3 years ago Which of the following is equivalent to log 8 35 rounded to three decimal places

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1. lemonjuice

do I need a calculator for this

2. Calcmathlete

Do you mean $$\log_8 35?$$

3. lemonjuice

yes

4. Calcmathlete

Yes. You do need a calculator, but you also need to do something else before you do. Most calculators are programmed to use only base 10 and base e. THerefore, you need to use the change of base formula to plug it into a calculator. $\log_by = \frac{\log_cy}{\log_cb}$Knowing this, what would $\log_8 35$be?

5. lemonjuice

does it have to be a graphing calculator because I cant find that on mine

6. Calcmathlete

Only has to be a scientific calculator.

7. lemonjuice

I have a TI-15 and cannot find the log button

8. Calcmathlete

Alright. I am unfamiliar with that, so I'm just going to redirect you to wolfram...just make sure that you understand the change of base formula because that's ll this wants you to do. http://www.wolframalpha.com/input/?i=log+35%2Flog+8

9. lemonjuice

ok thx

10. Calcmathlete

np :)

11. lemonjuice

so i is 1.709

12. robtobey

$8^{(1.7097610056483221518)}=35.00000000000000000$