What is the solution of the equation 14^x=5?
Round your answer to the nearest ten-thousandth.
2 answers:
Take ln to both sides
ln 14^x = ln 5
then you'll get
x ln 14 = ln 5
divide both sides by ln 14
x = 0.6098533345
after rounding
x = 0.6099
Answer:
x = 0.6099
Step-by-step explanation:
To solve the question, take the logarithm of both sides to base 10. then apply the law of logarithms that states that
log aˣ = x log a
As such, 14^x=5
log 14^x= log 5
x log 14 = log 5
x = log 5 / log 14
x = 0.60985
To the nearest nearest ten-thousandth, it becomes
x = 0.6099
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Nathaniel is correct. fractions are rational numbers
Ur answer should be 97
Hope this helps u:)
