Question

please show all steps and simplify 2^(logbase2 3+logbase2 5)??

Answer 1

step one: post question to openstudy.com

Answer 2

\(2^ { log 3+ log 5}\)
log is to the base 2
log A + Log B= log AB
and
\[ x^{log (y)}= y\]
is log is to the base x
so
\[2^{ log 15}\]
= \( log 15\)

Answer 3

@ash: everything except that the last step should be = 15. Compare to:
\[2^{\log_2 3 + \log_2 5} = 2^{\log_2{3}}\cdot2^{\log_2{5}}\]
\[2^{\log_2{3}}\cdot2^{\log_2{5}} = 3 \cdot 5 = 15\]

Answer 4

sorry i made mistake it's 15