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

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

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Answer 1 · 2015-09-02T16:17:35

$x = {log}_{1.15} 100$ $x = log_1.15 100$

Explanation:

${log a}^{n} = n log a$ $log a^n = n log a$
${log}_{a} b = \frac{{log}_{c} b}{{log}_{c} a}$ $log_a b = log_c b/log_c a$

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

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

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

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