Answer :
Answer:
³log27 + ²log256
=³log3³ + ²log2⁸
=3 × ³log3 + 8 × ²log2
=3 × 1 + 8 × 1
=3 + 8
=11
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]