SOLUTION: use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places)
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Question 563657: use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places)
:
divide both sides by 7
Divide both sides by 15^z
Which is
Reduce the fraction
using nat logs
log equiv of exponents
find the ln
-1.6094z = .9985
z =
z = -.6206
:
:
Check solution on a calc:
enter 7*3^-.62) = 3.54
enter 19*15^-.62 = 3.54; confirms our solution of z = -.6206
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