4 years ago

Solve 2 log x = log 36. x = ±6 x = 6 x = 18 x = 72

Mathematics

2 answers:

kotykmax [81]4 years ago

5 0

Answer:

Answer is B. X=6, Positive and negitive terms cancel out

Step-by-step explanation:

Elodia [21]4 years ago

3 0

2㏒(x) = ㏒(36)
㏒(x²) = ㏒(36)
x² = 36
√x² = √36
x = ±6

The answer is A.

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Describe the error Sadie made, and explain how to find the correct answer. (Refer to image)

ki77a [65]

1. Sadie should note that $54a^7b^3\ge 0$ and if $a\ge 0$ , then $b\ge 0$ .

2. While simplifying Sadie makes some mistakes (it must be $3^2$ instead of $3^3$ and she missed the sign of absolute value for b). The right way to find the correct answer is:

$\sqrt{54a^7b^3}=\sqrt{3^2\cdot 6\cdot a^2\cdot a^5\cdot b^2\cdot b} =3\cdot a\cdot |b| \sqrt{6\cdot a^5\cdot b}=3ab\sqrt{6a^5b}$ .

3. The simpliest expression is $3ab\sqrt{6a^5b} =3ab\sqrt{6\cdot a^2\cdot a^2\cdot a\cdot b} =3a^3b\sqrt{6ab}$ .