History
Who was the creator or logarithms?
John Napier
Rewrite the next exponential function into the logarithmic form:
7X=49
log749
X-intercept
(1,0)
State the transformations: y=log2(x)+3
Translated 3 units up.
log2(32)=?
5
Why was the creation of logarithms useful?
Its creation simplified many calculations such as large multiplications and divisions.
Rewrite the next logarithmic function into the exponential form:
log(1000)=2x-1
102x-1=1000
y-intercept
(1,0)
State the transformations:
y=-log6(x+5)-4
Reflexion across the x-axis.
Translation 5 units left.
Translation 4 units down.
log(10,000)=?
4
TRUE OR FALSE: In “Mirifici Logarithmorum Canonis Descriptio” (Description of the Marvelous Canon of Logarithms), the author included the details of the process that led to the invention of logarithms.
FALSE
Rewrite the next exponential function into the logarithmic form:
5x∧2=125
log5(125)=x2
Range
{y|y ϵ R}
State the transformations: y=log3(2x-1)
Compressed horizontally by a factor of 1/2.
Translated 1 unit to the right.
log100.01
-2
In what year did the creator of logarithms begin to develop them?
Around 1594.
Rewrite the next logarithmic function into the exponential form:
log2(128)=3x+2
23x+2=128
Domain
{x|x>0, x ϵ R}
State the transformations: y=log(-4x+2)
Reflection across the y-axis.
Horizontal compression by 1/4.
Translation 2 units left.
log5(25) - log5(5)=?
1
Who introduced the modern notation of logarithms? What did the author establish?
Leonhard Euler in the late 1700s. He defined that logxy=z as the condition where xz=y holds true.
Rewrite the next exponential function into the logarithmic form:
log7(49x+1)=2x-3
72x-3=49x+1
State the asymptotes
Vertical: x=0
Horizontal/Slant: None.
State the transformations:
y=-log(x/3)+8
Reflection across the x-axis.
Horizontal strech by a factor of 3.
Translation 8 units up.
log4(64) * log4(1)=?
0