Question 1028824: Solve each equation. Show all your work for full credit
a. 3^2n+1 = 81
b. log10 4 + log10 (z+3)=2 Found 3 solutions by stanbon, Fombitz, josmiceli:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a. 3^2n+1 = 81
3^(2n+1) = 3^4
2n+1 = 4
n = 3/2
--------------------------------------
b. log10 4 + log10 (z+3)=2
log(4z+12) = 2
---
4z+12 = 10^2
---
4z = 88
z = 22
---------------
Cheers,
Stan H.
-------------
You can put this solution on YOUR website! (a)
--------------
check:
------------------------
(b)
( whenever the base is not specified,
it is assumed to be 10 )
Now the trick is to express as a log
----------------
check:
OK
(