Question 1183125
4w = 1976
divide both sides by 4 to get:
w = 1976/4 = 494
you don't need logs to solve this.


if the equation is 4^w = 1976, then use of logs would be indicated.
you would take the log of both sides of the equation to get:
log(4^w) = log(1976)
this is equal to w * log(4) = log(1976)
solve for w to get:
w = log(1976) / log(4) = 5.474183616


confirm by replacing w in the original equation to get:
4^5.474183616 = 1976
simplify to get:
1976 = 1976
this confirms the answer is correct.


the ^ symbol signifies exponentiation.
2^3 = 2 raised to the third power = 8.