robert7248
contestada

If [tex]A = log_{5}2[/tex] and [tex]B= log_{5} 3[/tex], write each logarithm in terms of A and B.

[tex]log_{5} 8\sqrt{3}[/tex]

Respuesta :

Ashraf82

Answer:

[tex]A=2^{\frac{1}{5} }[/tex]

[tex]B=3^{\frac{1}{5}}[/tex]

Step-by-step explanation:

∵  [tex]A=log_{5}2[/tex]

∴ [tex]A^{5}=2[/tex]

∴[tex]A=2^{\frac{1}{5}}[/tex]

∵ [tex]B=log_{5}3[/tex]

∴ [tex]B^{5}=3[/tex]

∴ [tex]B=3^{\frac{1}{5}}[/tex]

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