How do you solve $.05(1.15)^x = 5$ ?

Question

3884 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-02T16:17:35

$x = log_1.15 100$

$log a^n = n log a$
$log_a b = log_c b/log_c a$

$0.05(1.15)^x = 5$
$1.15^x = 100$
$xlog 1.15 = log 100$
$x = log_1.15 100$

How do you solve .05(1.15)^x = 5.05(1.15)^x = 5?