Question

Q.3 Index form of 'logarithm to base x of y is z' is: Option 1 : x^z = y Option 2 : x^y=z Option 3 : yaz = x Option 4 : z^y = x​

Answer 1

Answer:

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aryandhere85

aryandhere85

37 minutes ago

Math

Secondary School

answered

The sum of two consecutive multiples of 12 is 300. Find the smaller multiple.

2

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harshithsaivemula14

harshithsaivemula14

Answer:

Step-by-step explanation:

12x+12x+12=300

24x=300-24

24x=276

x=11.5

so 12x=138 this is the smaller multiple

rajivd361

rajivd361

Answer:

let the numbers be x

A.T.Q

12x + 12x +12 = 300

24x + 12 = 300

24x = 300 - 12

24x = 288

x = 288/24

x = 144

so according to our question

12*12 ------ no. 1

12*12+12 ------ no. 2

144 ------ no. 1

144+12 = 156 ------ no 2

Verification :-

144+156

=300

Hope it will help you

Answer 2

Correct answer is Option 1 : $x^{z} = y$  

Given:

'logarithm to base x of y is z'  

To find:

Which of the following is correct answer

Option 1 : $x^{z} = y$      Option 2 : $x^{y} = z$  

Option 3 : $y^{z} = x$      Option 4 : $z^{y} = x$  

Solution:

Given 'logarithm to base x of y is z'  

The above statement can be written as ㏒ₓ y = z  

⇒ Given Expression is ㏒ₓ y = z  

Logarithm Definition

• Short form of Logarithm is "㏒"  
• Logarithm is way of expressing exponents and can be used to solve problems instead of the concept of exponents.  
• ㏒ is defined using an exponent.
• It is given that aˣ = b ⇔ ㏒ₐ b = x

Where a, b and x are real numbers  

Using the statement aˣ = b ⇔ ㏒ₐ b = x we can change

Exponential to Log Form and Log Form to Exponential

Given ㏒ₓ y = z    

Change the given Log Form to Exponential  

㏒ₓ y = z  ⇒   $x^{z} = y$    

Therefore,

Correct answer is Option 1 : $x^{z} = y$  

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