Question
I need help solving this logarithmic function: x = log3(4^3).
Answers
Damon
log3 (4^3) = 3 log3 (4)
the real problem is to find log base 3 of 4
Let x = log3(4)
then
3^x = 4
we can take base ten logs of both sides with our calculators
x log 10 (3) = log 10 (4)
x = log 10 (4) / log 10 (3)
x = .60206 / .47712
x = log3 (4) = 1.262
we want 3 x = 3.786
the real problem is to find log base 3 of 4
Let x = log3(4)
then
3^x = 4
we can take base ten logs of both sides with our calculators
x log 10 (3) = log 10 (4)
x = log 10 (4) / log 10 (3)
x = .60206 / .47712
x = log3 (4) = 1.262
we want 3 x = 3.786