Create and solve one-variable equations and inequalities from contexts using all studied expression types, including simple root functions.
Write and solve a one-variable equation from a logarithmic or exponential formula
Problem
Use \(\text{pH}~=~-\log(H)\) to find \(H\) when \(\text{pH}~=~3\).
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What this problem is really about
First isolate the logarithm carefully, since the negative sign belongs outside it and changes the logarithm's output. Then use the inverse relationship between a base-ten logarithm and a power of ten. A final check should confirm both the original formula and the requirement that a logarithm's input be positive.
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