SOLUTION: 2. Convert the following equations into exponential form: a. X = log54 b. 7 = log6Y c. X= log8Y d. 90 = log4Z

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2. Convert the following equations into exponential form: a. X = log54 b. 7 = log6Y c. X= log8Y d. 90 = log4Z       Log On


   

Question 388395: 2. Convert the following equations into exponential form:
a. X = log54
b. 7 = log6Y
c. X= log8Y
d. 90 = log4Z

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Your notation is a tad unclear!
When you write Log54 do you mean Log%5B5%5D%284%29 where 5 is the base of the logarithm?
I am going to assume that this is what you meant, so...
If you'll recall the definition of the logarithm of a number..."The logarithm of a number is the power to which the base must be raised to equal that number."
a) X+=+Log%5B5%5D%284%29 ---> 5%5EX+=+4 In words, the logarithm of 4 is the power (X) to which the base (5) must be raised to equal that number (4).
b) 7+=+Log%5B6%5D%28Y%29 ---> 6%5E7+=+Y
c) X+=+Log%5B8%5D%28Y%29 ---> 8%5EX+=+Y
d) 90+=+Log%5B4%5D%28Z%29 ---> 4%5E90+=+Z