Question: If log_a(b) = c, what is b in terms of a and c?
Options:
a^c
c^a
a/c
c/a
Correct Answer: a^c
Solution:
From the definition of logarithms, b = a^c.
If log_a(b) = c, what is b in terms of a and c?
Practice Questions
Q1
If log_a(b) = c, what is b in terms of a and c?
a^c
c^a
a/c
c/a
Questions & Step-by-Step Solutions
If log_a(b) = c, what is b in terms of a and c?
Step 1: Understand the equation log_a(b) = c. This means that 'a' raised to the power of 'c' equals 'b'.
Step 2: Rewrite the logarithmic equation in exponential form. The exponential form of log_a(b) = c is a^c = b.
Step 3: Identify 'b' in the equation. From the exponential form, we see that b is equal to a raised to the power of c.
Step 4: Write the final answer. Therefore, b = a^c.
Logarithmic Functions – Understanding the relationship between logarithms and exponents, specifically that if log_a(b) = c, then b can be expressed as a raised to the power of c.
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