Question

Evaluate $$\log_{\frac{2}{3}} 8$$ to three decimal places. a) -0.195 b) -5.129 c) -12.000 d) -4.710

Name: evaluate logfrac23 8 to three decimal places a 0195 b 5129 c 12000 d 4710 71316
Uploaded: 2024-05-23T23:52:37-08:00
Duration: 1 min 54 s
Channel: Willis James
Description: evaluate logfrac23 8 to three decimal places a 0195 b 5129 c 12000 d 4710 71316

          Evaluate $$\log_{\frac{2}{3}} 8$$ to three decimal places.
a) -0.195
b) -5.129
c) -12.000
d) -4.710

$evaluate logfrac23 8 to three decimal places a 0195 b 5129 c 12000 d 4710 71316$

Added by Cynthia H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Willis James

05/23/2024

Step 1

We can use the change of base formula for logarithms, which states that $$\log_b a = \frac{\log_c a}{\log_c b}$$ for any suitable base c (usually 10 or e). Let's use the natural logarithm (base e), denoted as ln. So, $$\log_{\frac{2}{3}} 8 = \frac{\ln 8}{\ln Show more…

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