exponential equation: 3 raised 0.1x minus 4 equals 5

Hello, Krhymer!

Here's an intuitive approach....

Solve for \(\displaystyle x\): \(\displaystyle \L \;3^{.1x}\,-\,4\,=\,5\)

Add 4: \(\displaystyle \L \;3^{.1x}\,=\,9\)

Now you know: \(\displaystyle \L \;3^2\,=\,9\)

So solve: \(\displaystyle \L \;.1x\,=\,2\)
 
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