Solve for x: $7 \left( 10 ^ { x - 3 } \right) = 23$ .Round to 3 decimal places.
A)0.517
B)no solution
C)3.517
D)-1.362
E)1.362

Question

Quizplus · Accepted Answer

To solve for x, first divide both sides by 7 to get $10^{x-3} = \frac{23}{7}$. Then take the logarithm base 10 of both sides: $x-3 = \log_{10}(\frac{23}{7})$. Solving for x gives $x = \log_{10}(\frac{23}{7}) + 3$. Calculating this gives approximately 3.517.

Solve for X 7(10x−3)=237 \left( 10 ^ { x - 3 } \right) = 237(10x−3)=23

Solve for X $7 \left( 10 ^ { x - 3 } \right) = 23$