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How do you solve $9^{r} = 49$ $9^r=49$ ?

1 Answer

Sep 18, 2016

$r \approx 1.771243749$ $r~~ 1.771243749$

Explanation:

If $9^{r} = 49$ $9^r=49$
then
$XXX {log}_{9} 9^{r} = {log}_{9} 49$ $color(white)("XXX")log_9 9^r =log_9 49$
and since ${log}_{9} 9^{r} = r$ $log_9 9^r =r$
$XXX r = {log}_{9} 49$ $color(white)("XXX")r=log_9 49$

Use a calculator or spreadsheet to find
$XXX {log}_{9} 49 \approx 1.771243749$ $color(white)("XXX")log_9 49 ~~ 1.771243749$

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