sumsum213 sumsum213
  • 12-12-2019
  • Mathematics
contestada

Use the change of base formula to find log14, 18. Round to the nearest hundredth.​

Respuesta :

eudora eudora
  • 15-12-2019

Answer:

Solution of the expression is 1.07

Step-by-step explanation:

The given logarithmic expression is [tex]log_{14}18[/tex]

Since change of base formula says, [tex]log_{b}(a)=\frac{log_{10}(a)}{log_{10}(b)}[/tex]

Therefore, the given expression can written as [tex]\frac{log_{10}(18)}{log_{10}14}[/tex] by using change of base formula.

Now [tex]\frac{log_{10}(18)}{log_{10}(14)}=\frac{1.2253}{1.1461}[/tex]

= 1.069

≈ 1.07

Therefore, solution of the expression will be 1.07

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