Write the logarithmic form of 921/5 = 4.
2025
Write the logarithmic form of 921/5 = 4.
- A.
log92(4)=1/5
- B.
log1/5(4)=92
- C.
log(1/5)=3
- D.
None of these
Show answer & explanation
Correct answer: A
Concept:
For a > 0, a ≠ 1, and x > 0, the exponential form ab = x is equivalent to the logarithmic form loga(x) = b.
Application:
The given equation is 921/5 = 4.
Compare 921/5 = 4 with the general form ab = x, giving a = 92, b = 1/5, and x = 4.
Substitute these into loga(x) = b to get log92(4) = 1/5.
Cross-check:
Re-expanding log92(4) = 1/5 back into exponential form gives 921/5 = 4, exactly the given equation, confirming the two forms are consistent for these values.
