SOLUTION: solve each equation for x. Round the answers to the nearest hundredth. 10^x=35 10^x=91 10^x=0.2

Algebra ->  Exponents -> SOLUTION: solve each equation for x. Round the answers to the nearest hundredth. 10^x=35 10^x=91 10^x=0.2      Log On


   

Question 674695: solve each equation for x. Round the answers to the nearest hundredth.
10^x=35
10^x=91
10^x=0.2
Found 3 solutions by solver91311, MathLover1, MathTherapy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Take the base 10 log of both sides.



Use



to write:



Use



to write:



From here it is just calculator work.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

10%5Ex=35

2%5Ex%2A5%5Ex=5%2A7
x=%28log%287%29%2Blog%285%29%29%2F%28log%282%29%2Blog%285%29%29





x=1.5440680443502756354984773638681431667153825148618568
note, only if you put whole decimal numbers, the result is true and gives you exactly 35, but if you round them it will not give you exactly 35

so, if you take rounded numbers, we have:
x=%281.61%2B1.95%29%2F%280.69%2B1.61%29
x=%283.56%29%2F%282.3%29
x=1.5478260869565217391304347826087
x=1.55
then
10%5E%281.55%29=35.4813


Answer by MathTherapy(10560) About Me  (Show Source):
You can put this solution on YOUR website!

solve each equation for x. Round the answers to the nearest hundredth.
10^x=35
10^x=91
10^x=0.2

Starting you off with no. 1:

10%5Ex+=+35 ------ Exponential form

log+%2810%2C+35%29+=+x ----- Logarithmic form

%28log+35%29%2Flog%2810%29+=+x ----- Applying change of base

x+=+1.544068044 ≈ highlight_green%281.54%29

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