Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​

Sagot :

wegnerkolmp2741o

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

Hi1315

Answer:

[tex]x = \frac{8}{7} [/tex]

Step-by-step explanation:

[tex] log(x + 8) = log(x) + log(8) \\ (x + 8) = 8x \\ x + 8 = 8x \\ 8 = 8x - x \\ 8 = 7x \\ \frac{8}{7} = \frac{7x}{7} \\ x = \frac{8}{7} [/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.