f(x) = 3 log base 2 (x + 4) - 2
The inside expression is logarithm base 2 of ( x + 4 ). There is no log base 2 key on the calculator, so we need to change the base to 10 so we can use the LOG key.
To change a log expression's base, rewrite the log expression with the new base you want to use.
log base 10 (x + 4)
Divide by the log in the new base of (the number that is the old base)
log base 2 (x + 4) = log base 10 (x + 4)
log base 10 (2)
To finish the problem, use this quotient in a calculator key sequence with the 3 in front and the -2 in back.
y= 3 ( (log (X + 4) divided by log (2)) - 2
enter, trace
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