Solving Exponential Equations (lacking a common base)(0.52)^q=4
2 answers:
Answer:
q = log4 / log0.53
q = -2.189
Step-by-step explanation:
(0.53)^q = 4
Taking log of both sides!
q log 0.53 = log 4
q = log 4 / log 0.53
q = 0.602 / -0.275
q = - 2.189
This can be checked to confirm correctness.
Substituting q = -2.189
(0.53)^ -2.189 = 1/ 0.249
= 4.01 Proved!
(Note that the "1" is because of the negative sign)
Answer:
q = -2.12
Step-by-step explanation:
lg both sides
lg(0.52^q) = lg4
qlg0.52 = lg4
q = lg4/lg0.52
q = -2.12
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