SOLUTION: Solve this equation in steps please, I am having a very hard time. 645=2^d (Solve for d)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve this equation in steps please, I am having a very hard time. 645=2^d (Solve for d)      Log On


   

Question 1022510: Solve this equation in steps please, I am having a very hard time.
645=2^d (Solve for d)
Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Good Morning!  

See Below ***

Note:



2^d = 645



base conversion formula 

log%28a%2C+p%29+=+log%28b%2Cp%29%2F+%28log%28b%2C+a%29%29+

d = log%282%2C645%29+=+log%2810%2C645%29%2F+%28log%2810%2C+2%29%29+ = 2.8/.30 = 9.333...

log%2810%2C645%29%2F+%28log%2810%2C+2%29%29+  Per Your Question***:  These are (base 10) 

Found by Your calculator by simply using log function(calculator automatically uses base 10) 

and entering either 645 0r 2

Checking:

2^9.33333 = 645 (rounded)  Checks!

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Solve this equation in steps please, I am having a very hard time.
645=2^d (Solve for d)
645+=+2%5Ed

d+=+log+%282%2C+%28645%29%29 ------- Converting to LOGARITHMIC form

highlight_green%28d+=+log+%28%28645%29%29%2Flog%28%282%29%29%29 ------ Applying change of base

Calculate this to get: d = 9.33315535