solve the exponential equation three decimal places and solve logarithm equation algebracially three decimals?

Question

1.8(3^(6-x)=40
2. log x^2 base 10 =6

Answer 1

1.8(3^(6-x)=40

Divide both sides by 8

3^(6-x) = 5

Take logarithim of both sides

(6-x) log 3 = log 5

(6-x) = (log 5)/(log 3)

6 - x = 1.465

x = 4.535

2. log x^2 base 10 = 6

2 log x = 6

Divide thru by 2

log x = 3

x = 1,000
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