# Suppose we have the logarithmic function f(x)= 3log2(x+5)-1.a.) Simplify: 7/f(27)b.) What's the domain of f?c.) Solve the following equation: f(2x)= -4

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Suppose we have the logarithmic function f(x)= 3log2(x+5)-1.

a.) Simplify: 7/f(27)

b.) What's the domain of f?

c.) Solve the following equation: f(2x)= -4

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Step 1 help_outlineImage TranscriptioncloseThe given function is, f(x)= 3log,2(x+5)-1 . find the value of f(27) f(27) To find the value of f(27) 3log2(27+5) -1 =31og2(32- =3log, 25- 5(3)log, 2-1 = 15-1 14 fullscreen
Step 2 help_outlineImage TranscriptioncloseLog function is defined only on positive values. Thus, the expression x+5 should be positive Then, the value ofx must be greater than -5 Therefore, the domain of f(x) 31log , ( x+5)-1 is x>-5 or (-5,0) fullscreen

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### Logarithms 