Given $\log_2 b = x$ and $\log_2 c = y$, express $\log_2 \frac{8b}{c}$ in terms of $x$ and $y$.
Added by Andrea F.
Close
Step 1
This means that b = 10^x, since the logarithm is the exponent to which the base (in this case, 10) must be raised to obtain the number (in this case, b). Similarly, we know that log(a) = y. This means that a = 10^y. Now, we want to find log(a^b). We can rewrite Show more…
Show all steps
Your feedback will help us improve your experience
Gregory Higby and 63 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve for $y$ in terms of $x$.$$\log _{b} y=\log _{b} 2+\log _{b} x$$
Exponential and Logarithmic Functions
Properties of Logarithms
Rewrite the equation in exponential form. $$\quad y=\log _{b} x$$
Exponential and Logarithmic Functions and Applications
Logarithmic Functions
If $y=\log _{a} x,$ then $y=a^{x}$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD