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Fill in the missing values to make the equations true. log_4(7)+log_4(5)=log_4(?) log_8(11)-log_8(?)=log_8(11/5) 2log_9(3)=log_9(?)

Fill in the missing values to make the equations true. log_4(7)+log_4(5)=log_4(?) log_8(11)-log_8(?)=log_8(11/5) 2log_9(3)=log_9(?)
asked 161k views
4 votes
Fill in the missing values to make the equations true.

log_4(7)+log_4(5)=log_4(?)
log_8(11)-log_8(?)=log_8(11/5)
2log_9(3)=log_9(?)

asked
User Jadsq
by
8.6k points

1 Answer

2 votes
the main formulas of log are:
log A + logB =log A*B
log A - logB =log A/B
log A ^p= p logA

so
log_4(7)+log_4(5)=log_4(7*5)=log_4(35)
log_8(11)-log_8(5)=log_8(11/5)
2log_9(3)=log_9(3)²
answered
User Jonesopolis
by
7.3k points
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