(Exponential and Logarithmic functions and their algebra) Questions

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100

3 x 5 x √3 x √3

45

200

Find x: 26^{9x + 5} =1

-5/9

300

Find the inverse function: f(x)= 2-5x/3

f -1(x)=(2-3x)/5

400

Find x: log _x 4 + log _x 8 - log _x 2 = log ₃ 9

x= +,- 4

500

log_1/2 (½ *1/64)²

8

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100

10 x √3 x √2

 10√6

200

14⁰

1

300

Rationalise the denominator: 1+√3/√7

(1+√21)/7

400

Find x: log ₃ 189 - log ₃ 7 = log ₂ x

x=8

500

Log _x (⅛) = -¾

X= 8 ^4/3= 2⁴= 16

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100

(16³)^1/4

8

200

Find x: log x + log 3=2log 4 - log 2

x=8/3

300

Find the inverse function: f(x)=4x+1

f -1(x)=(x-1)/4

400

Find x: log ₃ √x = 2 log ₃ 2

x= 16

500

log _a x+ log _a 3= log _a (X+1)

 x = ½

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100

(36/12)^1/3

6

200

Find b: 4=log_b81

b = 3 

300

How many x values does each y value have in an inverse function?

one

400

Find the inverse function: f(x)= log(x-2)

f -1(x)= 10^{x + 2}

500

Log₃₂₄8= 3x-1

X= 7/18

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100

Are surds irrational?

Yes

200

If there is no base shown in the log equation what is the base?

10

300

Simplify: (√7-√5)2

12- 2√35

400

What does log _b y = x  mean?

b ^x = y

500

Find x: Log₅(2x+4) = 2

x = 21/2