$\log_ab=c\iff a^c=b\qquad(*)\\\\\log_ab^c=c\cdot\log_ab\qquad(**)\\\\---------------------\\\\\log_3x^6=12\qquad\text{use}\ (**)\\\\6\log_3x=12\qquad\text{divide both sides by 6}\\\\\log_3x=2\qquad\text{Use}\ (*)\\\\3^2=x\to\boxed{x=9}$

8 0

3 years ago

A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answ

Agata [3.3K]

75%=¾
¾*20=15

He answered 15 questions correctly.

6 0

3 years ago

Read 2 more answers

Does square root of 162 = square root of 81 and square root of 81 added

madam [21]

No.
.. √162 = (√2)*(√81)
.. √81 +√81 = 2√81 = √324

Square root is a non-linear function. sqrt(a +b) ≠ sqrt(a) +sqrt(b)

5 0

3 years ago