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How do you solve #log_3 3+log_3x=5#?

1 Answer

Apr 16, 2016

#x=81#

Explanation:

You can see straightaway that #log_3 3 = 1#, because #3^1=3#, so

#1+log_3 x=5#
#log_3 x=4#

Raise both sides by #3#,

#3^(log_3 x)=3^4#
#x=3^4#
#x=81#

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