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

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Answer 1 · 2016-10-29T21:07:35

$x = 4.405$

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

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

$log0.73^x = log0.25" "larr$ log both sides

$xlog0.73 = log0.25" "larr$ power rule

$x = log0.25/log0.73" "larr$ isolate $x$

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

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