Algebra: Logarithms, Exponentials, and Transformations
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1. Evaluate the expression without using a calculator
log ₂1
2. Solve the equation
4^(3x+1) = 64 (simplify)(fraction)
3. Find the domain of the composite function f*g
f(x)=sqrt(x); g(x)=8x+4
4. Find the domain of the composite function f*g
f(x)=4/x-2; g(x)=9/x
5. Use the transformation to identify the graph of the function. Then determine its domain, range, and horizontal asymptote.
f(x)=2^(-x)-4
6. Find the exact value of the logarithm without using a calculator.
Log 1/2^(32)
7. Write the expression as a sum and/ or difference of logarithms. Express powers as factors. Log 3(81x)
Log 3(81x)=_____ (simplified form)
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Solution Summary
The solution gives detailed steps on solving various logarithmic equations. Also, the procedure of finding the domain, range and horizontal asymptote for given function is shown and explained.
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