### Logarithm - Inequalities

If log

_{2}X + log_{4}X = log_{0.25}> and x > 0, then x is- 6
^{-1/6} - 6
^{1/6} - 3
^{-1/3} - 6
^{1/3}

**Correct Answer**Choice (A).

6^{-1/6}Correct answer- Explanatory Answer
- Logarithm - Inequalities
- Medium

- 6
### Logarithm - Simple

log

_{9}(3log_{2}(1 + log_{3}(1 + 2log_{2}x))) = . Find x.- 4
- 1
- 2

**Correct Answer**Choice (D).

2 Correct answer- Explanatory Answer
- Logarithm Properties
- Easy

### Logartihm - Quadratic Equations

If 2

^{2x+4}– 17 × 2^{x+1}= –4, then which of the following is true?- x is a positive value
- x is a negative value
- x can be either a positive value or a negative value
- None of these

**Correct Answer**Choice (C).

x can be either a positive value or a negative value Correct answer- Explanatory Answer
- Exponents - Quadratic Equations
- Easy

### Logartihm - Algebra

If log

_{12}27 = a, log_{9}16 = b, find log_{8}108.**Correct Answer**Choice (D).

Correct answer- Explanatory Answer
- Logarithm manipulation
- Hard

### Logarithm - Inequalities

< 0. If a, b are integers such that x = a, and x = b satisfy this inequation, find the maximum possible value of a – b.

- 214
- 216
- 200
- 203

**Correct Answer**Choice (A).

214 Correct answer- Explanatory Answer
- Logarithm - Inequalities
- Hard

### Logarithms - Different bases

log

_{5}x = a (This should be read as log X to the base 5 equals a) log_{20}x = b. What is log_{x}10?- (a + b) * 2ab

**Correct Answer**Choice (A).

Correct answer- Explanatory Answer
- Logarithm - Algebra
- Medium

### Basic identities of Logarithm

Find x.

**Correct Answer**Choice (C).

Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Medium

### Basic identities of Logarithm

Find

- 4
- 3

**Correct Answer**Choice (B).

3 Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Medium

### Basic identities of Logarithm

If log

_{2}4 * log_{4}8 * log_{8}16 * ……………nth term = 49, what is the value of n?- 49
- 48
- 34
- 24

**Correct Answer**Choice (B).

48 Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Hard

### Basic identities of Logarithm

If 3

^{3+6+9+……….x terms}= (0.)^{-66}and (x > 70),

What is the value of x?- 3
- 6
- 7
- 11

**Correct Answer**Choice (D).

11 Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Hard

### Basic identities of Logarithm

x,y,z are 3 integers in a geometric sequence such that y- x is a perfect cube.

Given, log_{36}x^{2}+ log_{6}√y + 3log_{216}y^{1/2}z = 6. Find the value of x+y+z.- 189
- 190
- 199
- 201

**Correct Answer**Choice (A).

189 Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Hard

### Basic identities of Logarithm

10

^{log(3 - 10logy)}= log_{2}(9 - 2^{y}), Solve for y- 0
- 3
- 0 and 3
- none of these

**Correct Answer**Choice (D).

none of these Correct answer- Explanatory Answer
- Basic identities of Logarithm
- Medium

### Value of x

4

^{6+12+18+24+…+6x}= (0.0625)^{-84}, what is the value of x?- 7
- 6
- 9
- 12

**Correct Answer**Choice (A).

7 Correct answer- Explanatory Answer
- Value of x
- Hard

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- Percents Profits & Interests
- DI - Bar Graphs
- Geometry
- VA - Sentence Rearrangement
- Speed Time Races
- DI - Pie Charts
- Coordinate Geometry
- VA - Sentence Elimination
- Ratio Mixtures, Averages
- DI - Multiple Graphs
- Trigonometry
- VA - Sentence Correction
- Logarithms and Exponents
- DI - Word Problems
- Mensuration
- VA - Para Completion
- Pipes Cisterns
- DI - Line Graphs
- Permutation; Probability
- VA - Text Completion