Question 221748
One way or another you will need to use a calculator (or a table of logarithms) to figure this out.<br>
Here's a calculator-based procedure you can follow:<ol><li>Figure out the base of the logarithm involved. You do not mention a base. If there is no mention of a base, or "ln" or "natural logarithm", then the base is probably 10. If "ln" or "natural logarithm" are mentioned, then the base is "e". (If your calculator does not have a key for "e", use 2.7182818284590451 or a rounded off version of this number.</li><li>Figure out how to exponentiate (raise a number to a power) on your calculator. Different calculators use different keys for this so it is difficult for me to provide specific help. Often the key is "^" or "{{{x^y}}}". You enter the base, then press if exponentiate key, then enter the exponent and finally press the "=" or "Enter" key. Try it out on {{{3^4}}} and see if you get the correct answer: 81.</li><li>Unless your calculator supports parenthesized expressions and you know how to enter a parenthesized expression, subtract the two numbers of the 2nd and third logarithms above in advance.</li><li>Now you just raise the base (from step #1) to the logarithm power, one at a time.</li></ol>