Find the value of x (4/3) ^ - 5 * (4/3) ^ - 4 = (3/4) ^ (- 2x - 1)

ICSE Class 8 Answered

Find the value of x (4/3) ^ - 5 * (4/3) ^ - 4 = (3/4) ^ (- 2x - 1)

Asked by guterimeena1977 | 08 Mar, 2022, 12:51: AM

Expert Answer

(4/3) ^ - 5 * (4/3) ^ - 4 = (3/4) ^ (- 2x - 1)

rightwards double arrow left parenthesis 4 divided by 3 right parenthesis to the power of negative 5 minus 4 end exponent equals left parenthesis 3 divided by 4 right parenthesis to the power of negative left parenthesis 2 straight x plus 1 right parenthesis end exponent space rightwards double arrow left parenthesis 4 divided by 3 right parenthesis to the power of negative 9 end exponent equals left parenthesis 3 divided by 4 right parenthesis to the power of negative left parenthesis 2 straight x plus 1 right parenthesis end exponent rightwards double arrow left parenthesis 3 divided by 4 right parenthesis to the power of 9 equals left parenthesis 3 divided by 4 right parenthesis to the power of negative left parenthesis 2 straight x plus 1 right parenthesis end exponent rightwards double arrow 9 equals negative 2 straight x minus 1 rightwards double arrow 2 straight x equals negative 10 rightwards double arrow straight x equals negative 5

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