divineesumai2004
divineesumai2004 divineesumai2004
  • 24-08-2020
  • Mathematics
contestada

Given that 110ₓ = 40₅ , find the value of x.

Respuesta :

alisigwechinyere9
alisigwechinyere9 alisigwechinyere9
  • 24-08-2020

110x=405

1*x^2 +1*x^1 +0*x^0=4*5^1+0*5^0

x^2+x=4*5

x^2+x=20

x^2+x-20=0

x^2 +5x-4x-20=0

x(x+5)-4(x+5)=20

(x-4)(x+5)=20

x= 4 or -5

But a base cannot be negative so

x=4

Answer Link

Otras preguntas

Traditional grammars are still completely based on the Latin model. a. True b. False
Between 1500 and 1750, which commercial products were produced on Latin American plantations using enslaved laborers? (1) corn and squash (3) sugar and tobacco
Haiti and the Dominican Republic share the island of __________. A. Antilles B. Hispaniola C. Burma D. Cayman
Which were included among the three principles of the people check all that apply
how would you write 62.22 in expanded form
Why did Alexander the Great pour a helmet full of precious water into the desert sand even though he was thirsty?
Imagine that an exchange student from China visits your class. While your teacher discusses how the United States has a limited government, the Chinese student
The Embargo Act of 1807 and the Neutrality Acts of the 1930s were both attempts by the United States to (1) assist struggling foreign economies (2) halt the flo
which atoms attains a stable valence electron configuration by bonding with another atom 1) neon 2) radon 3) helium 4) hyrdogen
Even though stocks, securities, and mutual funds are higher-risk investments, many people invest in them becaus