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# Common Core Standard HSF-BF.B.5 Questions

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

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Which expression is equivalent to $log((3x^2)/y^4)$
1. 2 log 3x + 4 log y
2. 2 log 3x - 4 log y
3. log 3 + 2 log x + 4 log y
4. log 3 + 2 log x - 4 log y
Simplify the expression $log 100^x$.
1. $2$
2. $x$
3. $2x$
4. $2^x$
What expression is equivalent to $3log_4x + log_4y - 4log_4z?$
1. $log_4 ((3xy)/(4z))$
2. $log_4((x^3y)/z^4)$
3. l$log_4x^3yz^4$
4. $log_4x^3 + y - z^4$
Simplify the expression $4^(log_4 16x)$
1. $2x$
2. $16x$
3. $4^(2x)$
4. $log 16x$
Evaluate the expression $log_7 343$
1. $1$
2. $3$
3. $21$
4. $49$
Which of the following correctly expresses the equation in logarithmic form?

$2^6=64$
1. $log_6 2=64$
2. $log_2 6=64$
3. $log_6 64=2$
4. $log_2 64=6$
Which of the following expresses the equation in correct exponential form?

$log_10 0.0001=-4$
1. $10^-3=0.001$
2. $10^-4=0.0001$
3. $10x10^-3=0.01$
4. $10x10^-4=0.001$

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