Solve the Logarithm Expression: 2log₈2 + log₈3

Question

2log82+log83= 2\log_82+\log_83=

Video Solution

Solution Steps

00:00 Solve
00:04 Let's use the power log formula
00:15 Let's use this formula in our exercise
00:21 Let's solve the power
00:33 Let's use the logarithm addition formula
00:39 Let's use this formula in our exercise
00:50 Let's solve the parentheses
00:55 And this is the solution to the question

Step-by-Step Solution

2log82=log822=log84 2\log_82=\log_82^2=\log_84

2log82+log83=log84+log83= 2\log_82+\log_83=\log_84+\log_83=

log843=log812 \log_84\cdot3=\log_812

Answer

log812 \log_812


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