# Test: Logarithms I - Challenging

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Question 1:   Find $\mathrm{log}15.34$
$1.0353$
$1.1858$
$2.7863$
$1.2546$
Question 2:   Find $\mathrm{log}3075.51$
$3.1274$
$3.5673$
$3.4879$
$2.9863$
Question 3:   Find $\mathrm{antilog}1.375$
$12.74$
$1.383$
$0.138$
$23.714$
Question 4:   Find $\mathrm{antilog}2.768$
$0.442$
$568.14$
$1.131$
$663.28$
Question 5:   Write the following formula in log form: $V=\frac{MNT}{U}$
$\mathrm{log}V=\mathrm{log}MNT/\mathrm{log}U$
$\mathrm{log}V=\mathrm{log}M+\mathrm{log}N+\mathrm{log}T-\mathrm{log}U$
$\mathrm{log}V=\mathrm{log}M+\mathrm{log}N+\mathrm{log}T/\mathrm{log}U$
$\mathrm{log}V=\mathrm{log}M\cdot \mathrm{log}N\cdot \mathrm{log}T/\mathrm{log}U$
Question 6:   Write the following formula in log form: $e=m{c}^{2}$
$\mathrm{log}e=\mathrm{log}m\cdot \mathrm{log}c$
$\mathrm{log}e=2\mathrm{log}m\cdot \mathrm{log}c$
$\mathrm{log}e=\mathrm{log}m+2\mathrm{log}c$
$\mathrm{log}e=2\left(\mathrm{log}m+\mathrm{log}c\right)$
Question 7:   Solve: $\mathrm{log}{x}^{3}+\mathrm{log}100=14$
$100000$
$5$
$4$
$10000$
Question 8:   Solve: $\mathrm{log}{x}^{5}=25$
$1000$
$10000$
$100000$
$1000000$
Question 9:   Solve: $11\cdot {4.1}^{x}=93$
$x=2.032$
$x=-2.341$
$x=1.327$
$x=1.515$
Question 10:   Find $\mathrm{antilog}-5.4639$
$0.0004363$
$0.000003436$
$1.4564$
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