5. Exponentials and Logarithms
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10 Terms
1
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Write x = aⁿ In terms of logs
Loga(x) = n
2
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Change the base of log₄8 to base 2
Log₂8/Log₂4= 3/2
3
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Log1 =
0
4
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Logₙn =
1
5
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Convert y = axⁿ into a straight line
Logy = nlogx + loga
With log y and log x on the axis
Log a = y intercept
n = gradient
6
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Convert y=ab^x into a linear relationship
Logy=xlogb + loga
With logy and x on the axis
Log b = gradient
Log a = y intercept
7
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Which has a steeper gradient y = 3^x or y = 2^x
y = 3^x
8
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Which has a steeper gradient y = ¼^x or y = ½ ^x
y = ¼ ^x
9
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What is the inverse of y = 2^x
y = log₂x
10
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Where is the intercept of any graph in the form y = logₙx
(1,0)
Note 
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