Question

Solve.
33=8^5z+4

Answer 1

\(33=8^{5z+4}\) right?

Answer 2

yes

Answer 3

ok take base e log of both sides
ln 33 = (5z+4) ln
ln 33/ln 8 = 5z+4
convert logs
\(\log_8 33 = 5z+4\)
\(\log_8 33-4=5z\)
\((\log_8 33)/5-4/5=z\)
how do you want the final answer? as a decimal or as an expression?

Answer 4

Actually that is perfect. Thank you so much :)

Answer 5

anytime!