SOLUTION: Solve for x: a). {{{ log( 8, x=2/3 ) }}} b). {{{ log( 3, x=-2 ) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x: a). {{{ log( 8, x=2/3 ) }}} b). {{{ log( 3, x=-2 ) }}}      Log On


   



Question 387286: Solve for x: a). +log%28+8%2C+x=2%2F3+%29+
b). +log%28+3%2C+x=-2+%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
a). log8(x) = 2/3
base = 8
exponent = 2/3
result = x
----
8^(2/3) = x
x = 2^2
x = 4
-------------------------------------
b). log3(x) = -2
base = 3
exponent = -2
result = x
----
3^-2 = x
x = (1/3)^2
x = 1/9
==========
Cheers,
Stan H.