Answer
a.) $\log_4 70 = x$
b.) $\log_3 w = 5$
Work Step by Step
$Express$ $the$ $equation$ $in$ $logarithmic$ $form:$
a.) $4^x = 70$
b.) $3^5 = w$
Exponential form to logarithmic form: $b^c = a \rightarrow \log_b a = c$
a.) $4^x = 70$
Plug in 4 for b, x for c, and 70 for a
$4^x = 70 \rightarrow \log_4 70 = x$
b.) $3^5 = w$
Plug in 3 for b, 5 for c, and w for a
$3^5 = w \rightarrow \log_3 w = 5$