Solve the logarithmic equation?

Question

14) Solve 15^2x=36. Round to nearest ten-thousandths

16) Solve log(4x+10)=3

Answer 1

15^2x = 36

Apply logarithm to each side

log(15^2x) = log36 = log6²

Recall : logarithm formulas loga^b = bloga and logaⁿ = nloga

2xlog15 = 2log6

xlog15 = log6

Recall : logab = loga + logb

x(log3 + log5) = log3 + log2

x(0.4771 + 0.6989) = 0.4771 + 0.3010

x(1.1760) = 0.7781

x = 0.7781 / 1.1760 = 0.66165.

Answer 2

16.

log(4x + 10) = 3

Recall :Apply remove logarithm formula  log a = c then a = 10^c

4x + 10 = 10³

4x + 10 = 1000

4x = 990

x = 247.5.