Divisibility Math Question With Solutions

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Divisibility

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1 / 25

If a, m and n are positive integers and a ≠ 1, then log_a(m/n) =?

log_am - log_an

r log_am

log_p m/log_pn

log_am + log_an

2 / 25

If a, m and n are positive integers and a ≠ 1, then log_a(mn) =

r log_am

log_p m/log_pn

log_am - log_an

log_am + log_an

3 / 25

The relation x = log_an implies

n^x = a

a^x = n

aⁿ = x

x^a = n

4 / 25

What is the log of 5√5 to the base of 5?

1/2

3/2

3/4

5/2

5 / 25

If log(a/b) + log(b/a) = log (a + b), then

a + b = 1

a² - b² = 1

a – b = 1

a = b

6 / 25

Find the value of log_√381.

7 / 25

If a = b² = c³ = d⁴ = e⁵, then find log_aabcde

137/60

49/60

135/60

8 / 25

Find the value: log₂64 + log₂8

128

9 / 25

2log₁₀5 + log₁₀36 – log₁₀9 =?

4.6

100

10 / 25

log₁₀1 =?

Can't determine

Infinity

11 / 25

Find the value of log₁₀100.

12 / 25

If the log of 400 is 4, then what is the base of the log?

5√5

2√5

3√5

8√5

13 / 25

Which condition log_a1 = 0?

a > 1, a = 1

a > 0, a ≠ 1

a ≠ 1, a > 1

a ≠ 1, a < 0

14 / 25

Find the value of log₃(1/9).

-2

-1

-3

15 / 25

If log_xy = 100 and log₂x = 10, then the value of y is:

2¹⁰⁰⁰⁰

2¹⁰⁰⁰

2¹⁰

2¹⁰⁰

16 / 25

e^{ln x}=?

∞

17 / 25

The logarithms having a base '10' are called -

Pure logarithms

Infinite logarithms

Common logarithms

Natural logarithms

18 / 25

If Log_x(1/8) = -2, then x =?

√2

2√2

19 / 25

log₃(1/9) =?

-3

-2

20 / 25

If m and n are the positive numbers other than 1, then log_nm =?

log_p m/log_pn

r log_am

1/log_mn

log_am - log_an

21 / 25

If m, n and p are positive numbers and n ≠ 1, p ≠ 1, then; Log_nm =?

r log_am

log_am - log_an

1/log_mn

log_p m/log_pn

22 / 25

If a and m are positive numbers, a ≠ 1 and r is a real number, then log_am^r =?

r log_am

log_p m/log_pn

log_am - log_an

1/log_mn

23 / 25

Log_√₃3 + log₄2 =?

2/5

5/2

7/4

11/2

24 / 25

Solve the equation: log_x324 = 4.

√2

3√2

5√2

2√2

25 / 25

If 5 = log₂p, then find the value of p

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