SOLUTION: Use the Change of Base formula to evaluate {{{ log(4) 20 }}}. Then convert {{{ log(4) 20 }}} to a logarithm in base 3. A) 2.161; {{{ log(3) 15 }}} B) 2.996; {{{ log(3) 10.741

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use the Change of Base formula to evaluate {{{ log(4) 20 }}}. Then convert {{{ log(4) 20 }}} to a logarithm in base 3. A) 2.161; {{{ log(3) 15 }}} B) 2.996; {{{ log(3) 10.741      Log On


   



Question 308969: Use the Change of Base formula to evaluate +log%284%29+20+. Then convert +log%284%29+20+ to a logarithm in base 3.
A) 2.161; +log%283%29+15+
B) 2.996; +log%283%29+10.741+
C) 1.301; +log%283%29+15+
D) 2.161; +log%283%29+10.741+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Change of Base formula to evaluate +log%284%29+20+.
= log(20)/log(4) = 2.1610
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Then convert +log%284%29+20+ to a logarithm in base 3.
2.1610 = log3(x)
x = 3^2.1610
x = 10.741
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Cheers,
Stan H.
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A) 2.161; +log%283%29+15+
B) 2.996; +log%283%29+10.741+
C) 1.301; +log%283%29+15+
D) 2.161; +log%283%29+10.741