Question

Pre-calculus 12
Exponential Equations Not Requiring Logarithms


Solve the equation for x.

10^-3x . 10^x = 1/10

Answer 1

\[10^{-3x}. 10^{x}= \frac{ 1 }{ 10}\]

Answer 2

\(A^B\times A^C = A^{B+C}\)

so how would you simplify the left side?

Answer 3

Yes, same base, add exponents.

10^-2x= 1/10

Answer 4

Do we consider 1/10 as 10^-1

Answer 5

\(\dfrac{1}{x^n} = x^{-n}\)

YES

Answer 6

ok in that case

x = -1/-2 = 1/2

The answer is correct. Thank you

Answer 7

welcome ^_^