Question

Which of the following logs has NOT been evaluated correctly? $$log (1000^{\frac{1}{2}}) = 3/2$$ $$log (.0001) = -4$$ $$log (6) = 3/5$$ $$log (10000) = 4$$

Name: which of the following logs has not been evaluated correctly log 1000frac12 32 log 0001 4 log 6 35 log 10000 4 45748
Uploaded: 2021-12-27T20:05:46-08:00
Duration: 1 min 35 s
Channel: Pritesh Ranjan
Description: which of the following logs has not been evaluated correctly log 1000frac12 32 log 0001 4 log 6 35 log 10000 4 45748

          Which of the following logs has NOT been evaluated correctly?
$$log (1000^{\frac{1}{2}}) = 3/2$$
$$log (.0001) = -4$$
$$log (6) = 3/5$$
$$log (10000) = 4$$

$which of the following logs has not been evaluated correctly log 1000frac12 32 log 0001 4 log 6 35 log 10000 4 45748$

Added by Erica C.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Pritesh Ranjan

12/27/2021

Step 1

We will evaluate each option. **Option 1:** $$log (1000^{\frac{1}{2}}) = 3/2$$ We know that $$log(a^b) = b \cdot log(a)$$. So, $$log (1000^{\frac{1}{2}}) = \frac{1}{2} \cdot log(1000)$$. Since $$1000 = 10^3$$, we have $$log(1000) = log(10^3) = 3$$. Therefore, Show more…

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Which of the following logs has NOT been evaluated correctly? $$log (1000^{\frac{1}{2}}) = 3/2$$ $$log (.0001) = -4$$ $$log (6) = 3/5$$ $$log (10000) = 4$$