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julsineya [31]
2 years ago
6

Greatest common factor

Mathematics
1 answer:
nignag [31]2 years ago
7 0
I can't see the image clear enough!
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Solve for x in the following equation.
WARRIOR [948]

\huge\text{Hey there!}


\mathsf{5^{x - 2} = 5^8}

\mathsf{5^{x - 2} = 5\times5\times5\times5\times5\times5\times5\times5}

\mathsf{5^{x - 2} = 25\times25\times25\times25}

\mathsf{5^{x - 2} = 625\times625}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Solving for the exponent:}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Take the log (logarithm) to both of the sides:}

\mathsf{log(5^{x - 2} \rightarrow  log(390,625)}

\large\textsf{Simplify it:}

\mathsf{(x - 2) \times(log (5)) \rightarrow log(390,625)}

\large\textsf{Simplify that as well:}

\mathsf{x - 2 = \dfrac{log(390,625)}{log(5)}}

\large\textsf{You get it: }\mathsf{x - 2 = 8}

\large\textsf{ADD by 2 to BOTH of the SIDES:}

\mathsf{x - 2 + 2 = 8 + 2}

\large\textsf{Simplify it:}

\mathsf{x = 8 + 2}

\mathsf{x = 10}


\huge\textsf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x =} \frak{10}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


~\frak{Amphitrite1040:)}

5 0
2 years ago
Read 2 more answers
PLEASE HELP!!! Compare the two groups of data. Which BEST describes the data? A) the spread of data for boys is 2 centimeters gr
vladimir2022 [97]

Answer: The answer is B

8 0
3 years ago
Read 2 more answers
Kelly has 4 times as many songs on her music
Korolek [52]

Answer:

<h2>248 Songs</h2>

Step-by-step explanation:

<h3>Step 1; Set up an equation</h3>

4l + 6l + l = 682

<h3>Step 2: Add like terms</h3>

11l = 682

<h3>Step 3: Divide by 11</h3>

l = 62

Lou has 62 songs

<h3>Step 4: Multiply by 4</h3>

Kelly has 248 songs

<h3>Step 5: Check</h3>

Kelly has 248 songs

Lou has 62 songs

Tiffany has 372 songs

Is 248 4 times 62? ✔

Is 372 6 times 62? ✔

Is 248 + 372 + 62 = 682? ✔

<h3>Step 6: Answers</h3>

Kelly has 248 songs

Lou has 62 songs

Tiffany has 372 songs

I'm always happy to help :)

8 0
2 years ago
Find the volume of the sphere. Leave your answer in terms of π​
densk [106]
(4/3)(4)^3
Volume 85.3
4 0
2 years ago
the temperature dropped 3.5 degrees every hour for 5 hours. how much did the temperatures drop in all?
Vadim26 [7]

3.5 * 5 = 17.5degrees


4 0
3 years ago
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