Logarithmic function and properties of logarithms
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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write as an exponential equation: log_3(9)=2 | If b>0 and b#1, then y=log_b(x) means x=b^y
b=3; x=9; y=2
9=3^2 is the answer
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write as a logarithmic equation: 4^2=16 | log_4(16)=2
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write as a logarithmic equation: 2^-4=1/16 | log_2(1/16)=-4
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Find the value of the logarithmic expression: log_3(243) | y=log_3(243)
3^y=243=3^5
y=5; then log_3(243)=5 is the answer
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Solve: log_2(8)=x | x=3
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Solve the equation: log_16(x)=1/2 | 16^1/2=x
x=4
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Find the Value of the logarithmic expression 9^log_9(6) | Remember: if b>0 and b#1, the b^log_b(x)=x
9^log_9(6)=6
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Find the value of the logarithmic expression: log_4(4^3) | log_4(4^3)=3log_4(4)
log_4(4)=1, then log_4(4^3)=3
the answer is 3
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write the sum as the logarithm of a single number: log_10(12)+log_10(11) | log_10(132)
Remember log_b(xy)=log_b(x)+log_b(y)
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Solve the equation: log_3(4)+log_3(x)=0 | x=1/4
Remember: log_3(4)+log_3(x)=log_3(4x)=0
3^0=4x=1
x=1/4
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Solve the equation: log_10(x^2-9x)=1 | x=(-1,10)
x^-9x=10^1=10
x^2-9x-10=0
(x-10)(x+1)=0
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Use the formula to solve the compound interest problem. A=P(1+r/n)^nt Find how long it takes for $1300 to double if it is invested at 8% interest compounded monthly. | The money will double in value in approximately t=8.7 years.
Remember: P=$1300, means A=$2600, n=12 months, r=8% and t is what we are looking for.
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Created by:
sylvestre lamido wamba
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