Question

if
27 to the power of x = 2187 to the power of 3,
the value of x is

Answer 1

Answer:

27^x =2187³

27^x = 1.04 × 10¹⁰

27^x = 27⁷

x = 7.

( Ans.)

Answer 2

Answer:

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Step-by-step explanation:

27^x  =2187

Use the rules of exponents and logarithms to solve the equation.

27^x  =2187

Take the logarithm of both sides of the equation.

log(27 ^x  )=log(2187)

The logarithm of a number raised to a power is the power times the logarithm of the number.

xlog(27)=log(2187)

Divide both sides by log(27).

x=  log(27)/log(2187)

​  By the change-of-base formula  Log(a)/log(b)= logb(a)

x=log   (2187)/log(27)

x=7/3=2  1/3  ≈2.333333333