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What is the exact value of the exponential equation, 4(10)5x=200 ?
a. x=log196 / 5
d. x=log50 / 5

 Jan 16, 2019
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4 (10)^(5x) = 200       divide both sides by 4

 

(10)^(5x) = 50          take the log of both sides

 

log 10^(5x) = log 50       and by a log property, we can write

 

(5x) log 10  =  log 50        log 10  = 1  ....so we can ignore this.....and we have

 

5x  =  log 50             divide both sides by 5

 

x =  [ log 50 ] / 5

 

 

 

cool cool cool

 Jan 16, 2019

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