You can put this solution on YOUR website!
With an equation of the form
log(expression) = number
just rewrite the equation in exponential form, solve it and check it.
In general is equivalent to . Using this pattern to rewrite your equation in exponential form we get:
which simplifies to:
25 = 4x + 11
To solve this we subtract 11:
14 = 4x
and divide by 4:
which simplifies to: }
Checking solutions to logarithmic equations like this one is not optional. One must check to see that all arguments and bases of all logs are valid. (Valid arguments are positive and valid bases are positive but not 1. Checking our solution of 7/2:
And we can already see that the base is 5 and the argument is positive (25, to be exact). So they are both valid and our solution checks out. (If a base or argument had been invalid, even just one, then we would reject the solution.)
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