How do you solve ${0.73}^{x} = 0.25$ $0.73^x=0.25$ ?

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Answer 1 · 2016-10-29T21:07:35

$x = 4.405$ $x = 4.405$

$0.25$ $0.25$ is most certainly not one of the powers of $0.73$ $0.73$

The fact that the variable is in the index is an indication that you need to use logs.

${log 0.73}^{x} = log 0.25 \leftarrow$ $log0.73^x = log0.25" "larr$ log both sides

$x log 0.73 = log 0.25 \leftarrow$ $xlog0.73 = log0.25" "larr$ power rule

$x = \frac{log 0.25}{log 0.73} \leftarrow$ $x = log0.25/log0.73" "larr$ isolate $x$ $x$

$x = 4.405 \leftarrow$ $x = 4.405" "larr$ use a calculator to get the value of $x$ $x$

How do you solve 0.73^x=0.250.73x=0.250.73^x=0.25?