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45 votes
45 votes
PLEASE HELP!
log Subscript 3 (2x-7)= 4​​

PLEASE HELP! log Subscript 3 (2x-7)= 4​​-example-1
User Isak Savo
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2 Answers

10 votes
10 votes
The dude on the top is right
User NavidM
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20 votes
20 votes

Answer:

x = 44

Explanation:

You can rewrite logarithm equations like so:


log_(b)(x) = y\\\\x = b^y

A way to remember this is the base in the logarithm is also the base in the exponent - then remember this base b is to the power of what's on the other side - and all this is equal to whatever's in the parentheses.

In this case,


log_3(2x-7) = 4\\2x - 7 = 3^4\\x = (3^4 + 7)/2 = 44

User Kokers
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