Respuesta :

Answer:

The correct option is option (d).

Step-by-step explanation:

Logarithms are used basically to express large number.

Rules:

  • [tex]log_a(M.N)= log_aM+log_aN[/tex]
  • [tex]log_a(\frac{M}{N})= log_aM-log_aN[/tex]
  • [tex]log_a(M^k)=klog_aM[/tex]
  • [tex]log_a(1)=0[/tex]
  • [tex]log_a(a)=1[/tex]
  • [tex]b^{log_{b}k}=k[/tex]
  • [tex]log_ab=c \Leftrightarrow b=a^c[/tex]

Here given that,

[tex]log_5(x+30)=0[/tex]

Applying the last rule

[tex]\Rightarrow (x+30)= 5^3[/tex]

[tex]\Rightarrow x+30 = 125[/tex]

⇒x=125-30

⇒x=95

Therefore x=95.

Answer:

x = 95

Step-by-step explanation:

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