MarisaCha
Answered

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☁️ Math Quiz

³log 27 + ²log 256 = ...?

_______
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Sagot :

RNcyx

Answer:

³log27 + ²log256

=³log3³ + ²log2⁸

=3 × ³log3 + 8 × ²log2

=3 × 1 + 8 × 1

=3 + 8

=11

SoulSandMC

Answer:

[tex]\sf{11}[/tex]

Step-by-step explanation:

[tex]\sf\log_{3}(27)+\log_{2}(256) [/tex]

[tex]\sf=\log_{3}({3}^{3})+\log_{2}({2}^{8})[/tex]

[tex]\sf=3\log_{3}(3)+8\log_{2}(2)[/tex]

[tex]\sf=3(1)+8(1)[/tex]

[tex]\sf=3+8[/tex]

[tex]\sf=11[/tex]

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