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# Logarithms Questions - All Grades

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Which of the following is the correctly expanded version of (log15)-(log 1/100)
1. log100-15
2. (log500+log3)-(log10-log100)
3. (log5+log3)-(log1-log100)
4. (log5+log30)-(log1-log10)
$2^x=64$ is equivalent to
1. $log_64 x=2$
2. $log_2 64=x$
3. $log_2 x=64$
4. $log_x 64=2$
$6^4=1296$ is equivalent to
1. $log_6 1296=4$
2. $log_4 1296=6$
3. $log_1296 6=3$
4. $log_6 4=1296$
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. $log_4x^3 + y - z^4$
$4^x=256$ is equivalent to
1. $log_256 x=4$
2. $log_4 x=256$
3. $log_256 4=x$
4. $log_4 256=x$
$2^3=8$ is equivalent to
1. $log_8 2=3$
2. $log_3 8=2$
3. $log_2 8=3$
4. $log_8 3=2$
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. $10x10^-4=0.001$
Write $log_5 36+x$ in exponential form.
1. $36x = 5$
2. $5^x = 36$
3. $x^5 = 36$
4. $10^x = 36$