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MatroZZZ [7]
4 years ago
12

Solve the exponential equation 125^7x-2=150

Mathematics
2 answers:
yawa3891 [41]4 years ago
6 0
<span>Simplifying
125 * 125 * 125 * 125 * 125 * 125 * 125x + -2 = 150

</span>
<span>Multiply 125 * 125
15625 * 125 * 125 * 125 * 125 * 125x + -2 = 150
</span>
<span>Multiply 15625 * 125
1953125 * 125 * 125 * 125 * 125x + -2 = 150
</span>
<span>Multiply 1953125 * 125
244140625 * 125 * 125 * 125x + -2 = 150
</span>
<span>Multiply 244140625 * 125
30517578130 * 125 * 125x + -2 = 150

Multiply 30517578130 * 125
3814697266000 * 125x + -2 = 150
</span>
<span>Multiply 3814697266000 * 125
476837158300000x + -2 = 150
Reorder the terms: -2 + 476837158300000x = 150
</span>
<span>Solving
-2 + 476837158300000x = 150
</span>
<span>Solving for variable 'x'.
</span>
<span>Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation. -2 + 2 + 476837158300000x = 150 + 2
</span>
<span>Combine like terms: -2 + 2 = 0
0 + 476837158300000x = 150 + 2
476837158300000x = 150 + 2
</span>
<span>Combine like terms: 150 + 2 = 152 476837158300000x = 152
</span>
<span>Divide each side by '476837158300000'. x = 0.0000000000003187671039
</span>
<span>Simplifying x = 0.03187671039

</span>
spin [16.1K]4 years ago
5 0
Isolate the ^ add add 2 
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Answer:

see below

Step-by-step explanation:

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Rounding to 3 decimal places

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siniylev [52]

<u>Answer</u>:

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Then plug x into one of the original equations. In this case y = -x + 4 is the easiest.

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