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lana66690 [7]
4 years ago
10

og_232" alt=" log_24 + log_216 - log_232" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
n200080 [17]4 years ago
5 0

Answer: 1

<u>Step-by-step explanation:</u>

Method #1: Using the log rules (+ → x and - → ÷)

  log₂4 + log₂16 - log₂32

= log₂(\frac{4*16}{32})

= log₂(\frac{64}{32})

= log₂2

= 1

Method #2: Using log rules to simplify each expression

log₂4 = x              log₂16 = x                  log₂32 = x

      4 = 2ˣ                    16 = 2ˣ                       32 = 2ˣ

      2² = 2ˣ                   2⁴ = 2ˣ                       2⁵ = 2ˣ

        2 = x                      4 = x                          5 = x

log₂4 = 2               log₂16 = 4                 log₂32 = 5

             2     +                      4       -                        5     =     1

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