Solve the following exponential equations. 10^(x+1) − 10^(x−1) = 1287

asked Oct 2, 2020 225k views

5 votes

Solve the following exponential equations.
10^(x+1) − 10^(x−1) = 1287

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6 votes

Answer:x=2.114

Explanation:

Given

10^(x+1)-10^(x-1)=1287

10* 10^x-(10^x)/(10)=1287

Let
10^x=y

10y-(y)/(10)=1287

(100y-y)/(10)=1287

99y=1287* 10

y=(12870)/(99)=130

10^x=130

Taking
$\log$ both sides

$x\log (10)=\log (130)$

$x=(\log (130))/(1)$

x=2.114

CLucera answered Oct 5, 2020

4.8k points

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