Back to Express exponential solutions as logarithms — Problem 4 · Task Set 59

HSF.LE.A.4 Tutor Intake — Solving Exponential Equations with Logarithms

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-le-a-4

Work through problems with immediate feedback

Procedures

A student solves $300 \cdot e^{0.06t} = 900$ and writes:

Step 1: $e^{0.06t} = 3$
Step 2: $0.06t = \ln(3) \approx 1.099$
Step 3: $t \approx 1.099$ (answer)

What error did the student make?

The student should have used $\log$ instead of $\ln$ in Step 2.

The student forgot to divide by 0.06 in Step 3.

The student should have multiplied by 0.06 in Step 3.

Steps 1 and 2 are both incorrect.