Question

if 34×35=(3³)^x find the value of 'x'​

Answer 1

3.2 is the value of $x$.

Given,

Equation:$34X35=(3^{3})^{x}$.

To find,

the value of $x$.

Solution:

• It is a simplification question, here we need to the find the value of the exponent $x$.
• The step by step explanation is given below:
• First multiply 34 and 35.
• You will get the result as 1190.
• Then calculate the cube of 3, i.e 27.
• Then multiply it with its power i.e $x$.
• Then split 1190 in such a way that its base comes as 27.
• After than equate the power on both sides i.e. LHS and RHS.
• You will get the value of $x$.

The value of $x$ will be,

$34X35=(3^{3})^{x}\\1190=27^{x} \\(27^{2} )^{1.6} =27^{x} \\27^{3.2} =27^{x}\\x=3.2.$

The value of $x$ is 3.2.

#SPJ2

Answer 2

Answer:

The answer to the given question is the value of x is obtained as 3.2

Step-by-step explanation:

Given :

The expression is

$(34)(35) = { ({3}^{3}) }^{x}$

To find :

The value of x has to be found.

Solution :

The given expression should be expanded so that we can find the value of x.

we have to multiply 34 and 35.

on multiplying we get the value of 1190.

$(34)(35) = 1190$

Next, we have to find the cube value of 3

$(3)(3)(3) = (9)(3) = 27$

the resultant value should be expressed in the form of powers

${27}^{x}$

we have to express the number 1190 as the power value with the base as x.

The value of x obtained will be

$34 \times 35 = {( {3}^{3}) }^{x}$

on expanding, we get

$1190 = {27}^{x}$

1190 can be written as

${ ({27}^{2}) }^{1.6} = {27}^{x}$

On multiplying the powers we have

${27}^{3.2} = {27}^{x}$

On comparing the powers we get the value of x as

$x = 3.2$

The value of x is obtained as 3.2

Therefore, the final answer to the given question is 3.2

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