Question

Approximate each of the following logarithms to four decimal places. Use the LOG key on your calculator rather than logarithm tables, first changing the base of the logarithm to 10 if necessary.

. log3(3^2)

Answer 1

2

Explanation:

Let's change the base to base 10 (log10(x) = log(x)).

logb(a) = log(a)/log(b)

log3(3²) =log(3²)/log3

Knowing that log(aⁿ) = n*log(a)

log(3²)/log3 = 2*log(3)/log(3)

So, we can simply log(3)/log(3) = 1

log3(3²) = 2