$\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\qquad \leftarrow \textit{we'll use this one} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ u=\ln(x)\implies u=\log_e(x)\implies e^u=e^{\log_e(x)}\implies \boxed{e^u=x} \\\\[-0.35em] ~\dotfill\\\\ v=\ln(y)\implies v=\log_e(y)\implies e^v=e^{\log_e(y)}\implies \boxed{e^v=y} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^7}{x^5}\implies \cfrac{(e^v)^7}{(e^u)^5}\implies \cfrac{e^{7v}}{e^{5u}}\implies e^{7v}\cdot e^{-5u}\implies e^{7v-5u}$

6 0

3 years ago

Read 2 more answers

Whitley has run 16 miles. His slowest running time for a mile was 9 minutes and 14 seconds. His fastest running time for a mile

wolverine [178]

Answer:

275 minutes 12 seconds

Step-by-step explanation:

Given that :

slowest running time per mile = 9 minutes and 14 seconds

fastest running time per mile = 7

minutes and 58 seconds.

To estimate the time taken to run 16 miles ;

Obtain the Average of the two run times :

(9 minute 14 seconds) + (7 minutes 58 seconds) = 17 minutes 12 second

Hence it takes an average of 17 minutes 12 seconds per mile

Time taken to run 16 miles :

((17 * 60) + 12) * 16 = 16512 seconds

16512 / 60 = 275 minutes 12 seconds

6 0

3 years ago

Solve equation 3x+3y+6z-15w=9

Artyom0805 [142]

First of all what topic?

6 0

3 years ago

Factor the common factor out of each expression.

jasenka [17]

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

5(a+2)

4(k+3)

5 0

3 years ago