Answer :
Answer:
Let's solve the equation step by step:
Given:
\[ (6x)^6 = 6^{2^3} \]
First, simplify the right side of the equation:
\[ 6^{2^3} = 6^{8} \]
\[ = (6^2)^4 \]
\[ = 36^4 \]
Now, substitute this back into the original equation:
\[ (6x)^6 = 36^4 \]
Next, take the 6th root of both sides to isolate (6x):
\[ 6x = \sqrt[6]{36^4} \]
Calculate the 6th root of \( 36^4 \):
\[ \sqrt[6]{36^4} = \sqrt[6]{1296} \]
\[ = 6 \]
Now, divide both sides by 6 to solve for x:
\[ x = \frac{6}{6} \]
\[ x = 1 \]
So, the value of x that satisfies the equation is x = 1.
Answer:
here is it
Step-by-step explanation:
LHS,(6x)6=6²x
RHS,6^2^3=6^(2cube)
=6^8
now , LHS =RHS
6²x=6^8 (now cancel 6² both side)
then , x=6^6
x=46656
if the question is (6x)^6=6^2^3
by above steps we get
,6^6 × x^6=6^6 (we can cancel 6^6) then x^6=1
x=1
plz mark me as brainliest
hope its helpful for you
have a great day