SOLUTION: Help! Urgent! Can anyone help me? log (base 5) then 5^4

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Question 194361This question is from textbook Finite Math and Applied Calculus
: Help! Urgent!
Can anyone help me?
log (base 5) then 5^4
This question is from textbook Finite Math and Applied Calculus

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%285%5E4%29%29 Start with the given expression.


4%2Alog%285%2C%285%29%29 Pull down the exponent using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


4%2A1 Evaluate the log base 5 of 5 to get 1


4 Multiply


So log%285%2C%285%5E4%29%29=4

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Log%5B5%5D%285%5E%284%29%29+=+x
Recall the definition of a logarithm..."The logarithm (x) of a number (5%5E4) is the power to which the base (5) must be raised to equal that number. So...
5%5Ex+=+5%5E4 The bases are equal so the exponents are equal.
highlight%28x+=+4%29